November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50613

In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
02 Jul 2012, 01:45
Question Stats:
52% (01:38) correct 48% (01:33) wrong based on 1502 sessions
HideShow timer Statistics




Math Expert
Joined: 02 Sep 2009
Posts: 50613

In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
02 Jul 2012, 01:47
SOLUTIONIn the xyplane, if line k has negative slope and passes through the point (5,r), is the xintercept of line k positive?This question can be done with graphic approach (just by drawing the lines) or with algebraic approach. Algebraic approach:Equation of a line in point intercept form is \(y=mx+b\), where: \(m\) is the slope of the line, \(b\) is the yintercept of the line (the value of \(y\) for \(x=0\)), and \(x\) is the independent variable of the function \(y\). We are told that slope of line \(k\) is negative (\(m<0\)) and it passes through the point (5,r): \(y=mx+b\) > \(r=5m+b\). Question: is xintercept of line \(k\) positive? xintercep is the value of \(x\) for \(y=0\) > \(0=mx+b\) > is \(x=\frac{b}{m}>0\)? As we know that \(m<0\), then the question basically becomes: is \(b>0\)?. (1) The slope of line \(k\) is 5 > \(m=5<0\). We've already known that slope was negative and there is no info about \(b\), hence this statement is insufficient. (2) \(r>0\) > \(r=5m+b>0\) > \(b>5m=some \ negative \ number\), as \(m<0\) we have that \(b\) is more than some negative number (\(5m\)), hence insufficient, to say whether \(b>0\). (1)+(2) From (1) \(m=5\) and from (2) \(r=5m+b>0\) > \(r=5m+b=25+b>0\) > \(b>25\). Not sufficient to say whether \(b>0\). Answer: E. Graphic approach:If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III. When we take both statement together all we know is that slope is negative and that it crosses some point in II quadrant (5, r>0) (this info is redundant as we know that if the slope of the line is negative, the line WILL intersect quadrants II). Basically we just know that the slope is negative  that's all. We can not say whether xintercept is positive or negative from this info. Below are two graphs with positive and negative xintercepts. Statements that the slope=5 and that the line crosses (5, r>0) are satisfied. \(y=5x+5\): \(y=5x20\): For more on Coordinate Geometry check: http://gmatclub.com/forum/mathcoordina ... 87652.htmlAnswer: E.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Current Student
Joined: 28 Mar 2012
Posts: 316
Location: India
GMAT 1: 640 Q50 V26 GMAT 2: 660 Q50 V28 GMAT 3: 730 Q50 V38

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
02 Jul 2012, 02:53
Hi, Difficulty level: 650 With reference to below diagram: Attachment:
r.jpg [ 5.36 KiB  Viewed 21737 times ]
Even after using (1) & (2), we can't find the xintercept. Thus, Answer (E). Regards,



Math Expert
Joined: 02 Sep 2009
Posts: 50613

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
06 Jul 2012, 02:30
SOLUTIONIn the xyplane, if line k has negative slope and passes through the point (5,r), is the xintercept of line k positive?This question can be done with graphic approach (just by drawing the lines) or with algebraic approach. Algebraic approach:Equation of a line in point intercept form is \(y=mx+b\), where: \(m\) is the slope of the line, \(b\) is the yintercept of the line (the value of \(y\) for \(x=0\)), and \(x\) is the independent variable of the function \(y\). We are told that slope of line \(k\) is negative (\(m<0\)) and it passes through the point (5,r): \(y=mx+b\) > \(r=5m+b\). Question: is xintercept of line \(k\) positive? xintercep is the value of \(x\) for \(y=0\) > \(0=mx+b\) > is \(x=\frac{b}{m}>0\)? As we know that \(m<0\), then the question basically becomes: is \(b>0\)?. (1) The slope of line \(k\) is 5 > \(m=5<0\). We've already known that slope was negative and there is no info about \(b\), hence this statement is insufficient. (2) \(r>0\) > \(r=5m+b>0\) > \(b>5m=some \ negative \ number\), as \(m<0\) we have that \(b\) is more than some negative number (\(5m\)), hence insufficient, to say whether \(b>0\). (1)+(2) From (1) \(m=5\) and from (2) \(r=5m+b>0\) > \(r=5m+b=25+b>0\) > \(b>25\). Not sufficient to say whether \(b>0\). Answer: E.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Sep 2009
Posts: 50613

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
06 Jul 2012, 02:32
SOLUTIONIn the xyplane, if line k has negative slope and passes through the point (5,r), is the xintercept of line k positive?(1) The slope of line k is 5 (2) r>0 Graphic approach:If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III. When we take both statement together all we know is that slope is negative and that it crosses some point in II quadrant (5, r>0) (this info is redundant as we know that if the slope of the line is negative, the line WILL intersect quadrants II). Basically we just know that the slope is negative  that's all. We can not say whether xintercept is positive or negative from this info. Below are two graphs with positive and negative xintercepts. Statements that the slope=5 and that the line crosses (5, r>0) are satisfied. \(y=5x+5\): Attachment:
1.png [ 9.73 KiB  Viewed 24296 times ]
\(y=5x20\): Attachment:
2.png [ 10.17 KiB  Viewed 24273 times ]
For more on Coordinate Geometry check: mathcoordinategeometry87652.htmlAnswer: E.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 06 Aug 2011
Posts: 340

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
12 Jul 2012, 22:33
what addition information should we have to make it sufficient.. ???
_________________
Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !



Intern
Joined: 12 Aug 2013
Posts: 1

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
14 Aug 2013, 08:18
sanjoo wrote: what addition information should we have to make it sufficient.. ??? By regarding both statements: For any r greater than 25 the x intercept of k is positive For any r smaller than 25 it is negative. This is the information which is missing for answer C to be correct. Why 25? > Because for a slope of 5, you have to go down 25 steps if you want to go 5 steps to the right. So if r was 25, the x intercept would be 0....



Senior Manager
Joined: 03 May 2013
Posts: 297
Location: India
Concentration: Operations, Human Resources
GPA: 4
WE: Human Resources (Human Resources)

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
14 Aug 2013, 10:01
i solved like this
line passes thru (5,r). Eqn r= 5m + c. since slope is ve, if c is +ve , x intercept = +ve. otherwise ve.
statement 1. m=5. r= 25 +c . c= r25. c could be +ve or ve depending on r.
statement 2. r> 0. c = r+5m. c could be +ve or ve depending on value of m.
together c= r25; r>0. c could still be +ve or  ve . Hence x intercept could be +ve or ve.
Hence ans = E
Is it ok?



Intern
Joined: 14 Apr 2015
Posts: 6

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
28 Apr 2015, 05:59
Line (d): y = kx + b Passed (5;r) <=> r = 5k + b Question when y=0, x>0? <=> x= (rb)/k >0? (1) k= 5 x= (rb)/5: insufficiant. (2) r>0: insufficient. (1)+(2): r=25+b>0 <=>b>25 <=>b= 25+m y=0; x= (r+m25)/5?: insufficiant.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8531
Location: Pune, India

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
16 Mar 2016, 04:44
Bunuel wrote: In the xyplane, if line k has negative slope and passes through the point (5,r) , is the xintercept of line k positive? (1) The slope of line k is 5. (2) r > 0 Diagnostic Test Question: 39 Page: 26 Difficulty: 650 Responding to a pm: Check out this post first: http://www.veritasprep.com/blog/2011/09 ... vertices/ Slope of a line =  y intercept/x intercept If slope is negative, x intercept will be positive when y intercept is positive too. So we need to know the sign of the y intercept. (1) The slope of line k is –5. Does not matter what the actual slope is. We already know it is negative. We need the sign of y intercept. (2) r > 0 The line passes through (5, r) where r is positive. This just gives one point through which the line passes. The y intercept could still be positive or negative as shown by the two diagrams in Bunuel's first post above. Using both also we don't know the sign of the y intercept. Answer (E)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Intern
Joined: 10 Aug 2015
Posts: 32
Location: India
GPA: 3.5
WE: Consulting (Computer Software)

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
10 May 2016, 23:48
Bunuel wrote: In the xyplane, if line k has negative slope and passes through the point (5,r) , is the xintercept of line k positive? (1) The slope of line k is 5. (2) r > 0 Diagnostic Test Question: 39 Page: 26 Difficulty: 650 I will not repeat the solutions above because I did the same way. I will just repeat the most important takeaway: When slope is negative then both intercepts will have equal sign but when the slope is positive the intercepts will have opposite signs. Remember this and bully your way through these type of questions.



Math Expert
Joined: 02 Sep 2009
Posts: 50613

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
11 May 2016, 02:09
wings.ap wrote: Bunuel wrote: In the xyplane, if line k has negative slope and passes through the point (5,r) , is the xintercept of line k positive? (1) The slope of line k is 5. (2) r > 0 Diagnostic Test Question: 39 Page: 26 Difficulty: 650 I will not repeat the solutions above because I did the same way. I will just repeat the most important takeaway: When slope is negative then both intercepts will have equal sign but when the slope is positive the intercepts will have opposite signs. Remember this and bully your way through these type of questions. TIPS ON SLOPE AND QUADRANTS:1. If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III. 2. If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefore if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV. 3. Every line (but the one crosses origin OR parallel to X or Y axis OR X and Y axis themselves) crosses three quadrants. Only the line which crosses origin \((0,0)\) OR is parallel to either of axis crosses only two quadrants. 4. If a line is horizontal it has a slope of \(0\), is parallel to Xaxis and crosses quadrant I and II if the Y intersect is positive OR quadrants III and IV, if the Y intersect is negative. Equation of such line is y=b, where b is y intersect. 5. If a line is vertical, the slope is not defined, line is parallel to Yaxis and crosses quadrant I and IV, if the X intersect is positive and quadrant II and III, if the X intersect is negative. Equation of such line is \(x=a\), where a is xintercept. 6. For a line that crosses two points \((x_1,y_1)\) and \((x_2,y_2)\), slope \(m=\frac{y_2y_1}{x_2x_1}\) 7. If the slope is 1 the angle formed by the line is \(45\) degrees. 8. Given a point and slope, equation of a line can be found. The equation of a straight line that passes through a point \((x_1, y_1)\) with a slope \(m\) is: \(y  y_1 = m(x  x_1)\) Check for more here: mathcoordinategeometry87652.html
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



SC Moderator
Joined: 13 Apr 2015
Posts: 1689
Location: India
Concentration: Strategy, General Management
GPA: 4
WE: Analyst (Retail)

Re: In the xy plane, if line k has negative slope and passes through the
[#permalink]
Show Tags
12 May 2016, 21:48
Given: (x, y) = (5, r)
St1: Slope of line k = 5 To find the x intercept let the other coordinate be (x, 0) (r  0)/(5  x) = 5 r = 25 + 5x x = (r  25)/5 x intercept is positive if r > 25 and negative if r < 25 Not Sufficient
St2: r > 0 > Clearly insufficient
Combining St1 and St2: r may still be < 25 or > 25 Not Sufficient
Answer: E



Intern
Joined: 01 Jan 2015
Posts: 31
Location: India
GPA: 3.71
WE: Consulting (Retail Banking)

In the xy plane, if line k has negative slope and passes through the
[#permalink]
Show Tags
12 May 2016, 22:14
Using statement 2 only definitely there can not be any solution as negtive slope can be of high degree or low degree so if we imagine a line passing from a point in 2nd quardent, we can conclude that statement 2 is not sufficient. Lets take k=5 yr=5(x+5) yr=5x25 y/(r25)+x((r25)/5)=1 x intercept is (r25)/5 so now it depends on the value of r whether x intercept is positive or negative. Statement 2 says r>0 which is not sufficient as if r<25 then intercept will be negative if r>25 intercept will be positive. So no comments even we use both statement. Hence answer is E Please give kudos if you think above points help.
_________________
_________________ "Kudos please "



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

In the xyplane, if line k has negative slope and passes through
[#permalink]
Show Tags
07 Dec 2017, 09:52
GMATMadeeasy wrote: In the xyplane, if line k has negative slope and passes through the point (5,r) , is the xintercept of line k positive?
(1) The slope of line k is 5. (2) r > 0 We need to determine whether the xintercept of line k is positive, given that line k has a negative slope and passes through the point (5, r). We can let the slope of line k be m and the xintercept of line k be a; that is, line k passes through the point (a, 0). Using the slope formula m = (y_2  y_1)/(x_2  x_1), we have: m = (0  r)/(a (5))= r/(a + 5) Statement One Alone: The slope of line k is 5. Using the information in statement one, we can say the following: r/(a + 5) = 5 a + 5 = r/5 a = r/5  5 Since we don't know the value of r, we cannot determine the value of a. For example, if r = 5, a = 4, which is negative. However, if r = 50, a = 5, which is positive. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D. Statement Two Alone: r > 0 Knowing r is positive does not give us enough information to determine whether a, the xintercept of line k, is positive. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B. Statements One and Two Together: Looking at our work from statement one, and keeping in mind that r > 0 from statement two, we see that a can be positive or negative. For example, if r = 5 then a = 4, which is negative. However, if r = 50 then a = 5, which is positive. The two statements together are still not sufficient to answer the question. Answer: E
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1249
Location: India
WE: Engineering (Other)

In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
13 Mar 2018, 02:27
Bunuel chetan2uQuote: TIPS ON SLOPE AND QUADRANTS:
1. If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.
2. If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefore if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV. The highlighted text refers to line passing through origin. Is my understanding correct? For the text in red, I drew few lines considering xintercept as (x,0) and yintercept as (0,y). Is this optimum way to visualize?
_________________
It's the journey that brings us happiness not the destination.



Math Expert
Joined: 02 Sep 2009
Posts: 50613

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
13 Mar 2018, 02:45
adkikani wrote: Bunuel chetan2uQuote: TIPS ON SLOPE AND QUADRANTS:
1. If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.
2. If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefore if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV. The highlighted text refers to line passing through origin. Is my understanding correct? For the text in red, I drew few lines considering xintercept as (x,0) and yintercept as (0,y). Is this optimum way to visualize? No. The above properties are true for all lines, not only for those which pass through the origin.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



CEO
Joined: 11 Sep 2015
Posts: 3119
Location: Canada

Re: In the xyplane, if line k has negative slope and passes
[#permalink]
Show Tags
15 Nov 2018, 09:43
Bunuel wrote: In the xyplane, if line k has negative slope and passes through the point (5,r) , is the xintercept of line k positive?
(1) The slope of line k is 5. (2) r > 0 Target question: Is the xintercept of line k positive?When I scan the two statements, I can see that, if r is POSITIVE, then the point (5, r) can be very close to the xaxis or the point (5, r) can be very far from the xaxis. Given this, let's go straight to the statements COMBINED, and see if we can find two cases that yield DIFFERENT answers to the target question. CASE A: If r =1, then the point (5, r) is very close to the xaxis, and we get something like this: In this case, the answer to the target question is NO, the xintercept of line k is NOT positiveCASE B: If r =50, then the point (5, r) is far from the xaxis, and we get something like this: In this case, the answer to the target question is YES, the xintercept of line k IS positiveSince we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT Answer: E Cheers, Brent
_________________
Brent Hanneson – GMATPrepNow.com




Re: In the xyplane, if line k has negative slope and passes &nbs
[#permalink]
15 Nov 2018, 09:43






