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Line k is in the rectangular coordinate system. If the xintercept of
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26 Mar 2015, 03:31
Question Stats:
78% (01:42) correct 22% (02:02) wrong based on 256 sessions
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Re: Line k is in the rectangular coordinate system. If the xintercept of
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26 Mar 2015, 06:20
Bunuel wrote: Line k is in the rectangular coordinate system. If the xintercept of k is 2, and the yintercept is 3, which of the following is an equation of line k?
A. 3x + 2y = 6 B. 3x + 2y = 6 C. 3x  2y = 6 D. 2x  3y = 6 E. 2x  3y = 6
Kudos for a correct solution. y intercept is 3 y=mx+3 (where x is the independent variable; m is the slope; 3 is the y intercept of k) (y3)/m=x Therefore, 3/m=2 (Since the constant is the x intercept) m=3/2 Putting it in the initial equation y=mx+c y=3/2x+3 2y3x=6 Answer : A



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Re: Line k is in the rectangular coordinate system. If the xintercept of
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26 Mar 2015, 06:32
A
eq of line is y=mx+c
we have two points (2,0) and (0,3)
so slope is 3/2 and by substituing any point in the eq with the slope we can find out the value of c which comes out to be 6
so equation is 2y3x=6



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Re: Line k is in the rectangular coordinate system. If the xintercept of
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27 Mar 2015, 01:13
For \((2,0)\)
A. 3(2) + 2(0) = 6 True B. 3(2) + 2(0) = 6 True C. 3(2)  2(0) = 6 Exclude D. 2(2)  3(0) = 6 Exclude E. 2(2)  3(0) = 6 Exclude
For \((0,3)\)
A. 3(0) + 2(3) = 6 True B. 3(0) + 2(3) = 6 Exclude
A is the correct answer



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Re: Line k is in the rectangular coordinate system. If the xintercept of
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27 Mar 2015, 02:50
Hi all, This question can be solved in much simpler way. To find the x intercept Put y=0 in the equation of the line. To find the yintercept Put x=0 in the equation of the line. So Sub x=0 in the answer choices check whether you are getting y=3. A. 3x + 2y = 6  y = 3 B. 3x + 2y = 6  y = 3 C. 3x  2y = 6  y = 3 D. 2x  3y = 6  y = 2 E. 2x  3y = 6  y =2 Eliminate answer B,C,D and E. So the answer is A.
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Re: Line k is in the rectangular coordinate system. If the xintercept of
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27 Mar 2015, 03:10
Bunuel wrote: Line k is in the rectangular coordinate system. If the xintercept of k is 2, and the yintercept is 3, which of the following is an equation of line k?
A. 3x + 2y = 6 B. 3x + 2y = 6 C. 3x  2y = 6 D. 2x  3y = 6 E. 2x  3y = 6
Kudos for a correct solution. Two points given are: (2, 0) & (0,3) slope = (Y2Y1)/(X2X1) slope = 3/2 Eqn of line: y= mx+c y = 3x/2 + c    (1) Subs pt (2,0) in eqn 1 C = 3 y = (3/2)*x + 3 2y = 3x + 6 2y  3x = 6 Option A



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Re: Line k is in the rectangular coordinate system. If the xintercept of
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27 Mar 2015, 07:33
Bunuel wrote: Line k is in the rectangular coordinate system. If the xintercept of k is 2, and the yintercept is 3, which of the following is an equation of line k?
A. 3x + 2y = 6 B. 3x + 2y = 6 C. 3x  2y = 6 D. 2x  3y = 6 E. 2x  3y = 6
Kudos for a correct solution. Two points through which the line passes are (2,0) and (0,3) slope = 3/2 equation: y = 3/2x+3 3x+2y = 6 Answer A



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Line k is in the rectangular coordinate system. If the xintercept of
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30 Mar 2015, 02:57



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Re: Line k is in the rectangular coordinate system. If the xintercept of
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08 Apr 2015, 08:34
I recently went through the GMATClub Quant book and thought the intercept formula would work perfectly here. This formula would save a lot of time.
\(\frac{x}{a}\)+\(\frac{y}{b}\)=1
Where, a is the x intercept b is the y intercept
\(\frac{x}{2}\)+\(\frac{y}{3}\)=1
3x+2y=6
Answer: A



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Re: Line k is in the rectangular coordinate system. If the xintercept of
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08 Apr 2015, 09:01
Bunuel wrote: Line k is in the rectangular coordinate system. If the xintercept of k is 2, and the yintercept is 3, which of the following is an equation of line k?
A. 3x + 2y = 6 B. 3x + 2y = 6 C. 3x  2y = 6 D. 2x  3y = 6 E. 2x  3y = 6
Kudos for a correct solution. as Xintercept is ive and Y intercept is positive , the slope of line is +ive (3/2) and line will go through I, II, III quadrants. Y= 3/2X + C C is nothing else but y intercept = 3 . Y= 3/2X + 3 2Y = 3X + 6 option A
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Re: Line k is in the rectangular coordinate system. If the xintercept of
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14 Jul 2016, 08:56
Bunuel wrote: Line k is in the rectangular coordinate system. If the xintercept of k is 2, and the yintercept is 3, which of the following is an equation of line k?
A. 3x + 2y = 6 B. 3x + 2y = 6 C. 3x  2y = 6 D. 2x  3y = 6 E. 2x  3y = 6
Kudos for a correct solution. It will if you remember Y intercept = b = 3(given in question) x intercept = b/m = 2(Given in question) So 2=3/m m=3/2 Slope = 3/2 Equation of line is ymx+b y=3/2 x + 3 multiply both side by 2 2y=3x+6 take 3x to the L.H.S. 3x+2x=6 Answer is A
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Re: Line k is in the rectangular coordinate system. If the xintercept of
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12 Mar 2018, 05:16
Bunuel wrote: Line k is in the rectangular coordinate system. If the xintercept of k is 2, and the yintercept is 3, which of the following is an equation of line k?
A. 3x + 2y = 6 B. 3x + 2y = 6 C. 3x  2y = 6 D. 2x  3y = 6 E. 2x  3y = 6
Kudos for a correct solution. Equation of LIne
(x/xintercept)+(y/yintercept) =1So x/(2) +y/3=1After solving =3x+2y=6 Hence A is the answer .




Re: Line k is in the rectangular coordinate system. If the xintercept of &nbs
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12 Mar 2018, 05:16






