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In the xy-plane, what is the slope of the line with equation

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In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 15 Oct 2012, 03:15
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In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3
(B) -3/7
(C) 3/7
(D) 3
(E) 7

Practice Questions
Question: 61
Page: 160
Difficulty: 600

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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 15 Oct 2012, 03:15
1
2
SOLUTION

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3
(B) -3/7
(C) 3/7
(D) 3
(E) 7

Rewrite given equation in point-intercept form: \(y=-\frac{3}{7}x+\frac{9}{7}\). The slope of this line is \(-\frac{3}{7}\).

Answer: B.

Foe more check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 15 Oct 2012, 03:27
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The equation can be rearranged as \(y = (-3/7)x + 9/7\)
If the equation of a line is y = mx +c, the slope is m
Thus the slope of the above equation is \(-3/7\)
Answer B
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 15 Oct 2012, 06:28
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3x + 7y = 9

7y = 9 -3x (Isolate the term 7y on one side)

y= 9/7 - 3x/7 (Divide both sides by 7)

y = mx + b => y= (-3/7)x + 9/7

m= -3/7

Answer: B
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 15 Oct 2012, 09:54
1
Another solution is, find points on X and Y axis where this line intersects them, by substituting x=0 and y=0 respectively in the equation of line. So two points on line found this way are (0,9/7) and (3,0)

Hence slope of line = (y2-y1)/(x2-x1) = (0-9/7)/(3-0) = -3/7

Hence ans B.

Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3
(B) -3/7
(C) 3/7
(D) 3
(E) 7

Practice Questions
Question: 61
Page: 160
Difficulty: 600


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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 15 Oct 2012, 22:33
2
For a general equation
ax+by+c=0

the slope is = -a/b

so it'll be -3/7

Hope it helps !!
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 16 Oct 2012, 02:35
2
7y=-3x + 9

the equation of a slop is y=mx+b

then y=-3/7X + 9/7

hence slope is -3/7

Answer B
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 19 Oct 2012, 03:05
SOLUTION

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3
(B) -3/7
(C) 3/7
(D) 3
(E) 7

Rewrite given equation in point-intercept form: \(y=-\frac{3}{7}x+\frac{9}{7}\). The slope of this line is \(-\frac{3}{7}\).

Answer: B.

Foe more check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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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

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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 10 Sep 2014, 23:20
Bunuel wrote:
In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3
(B) -3/7
(C) 3/7
(D) 3
(E) 7

Practice Questions
Question: 61
Page: 160
Difficulty: 600



y=mx+b
m-slope

rearrange the given eqn then m=-3/7
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 03 Jun 2016, 05:36
Bunuel wrote:
In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

(A) -7/3
(B) -3/7
(C) 3/7
(D) 3
(E) 7


The easiest way to determine the slope of the line is to put the equation of the line into slope-intercept form, which is y = mx + b, where m = slope and b = the y-intercept. We must rewrite the given equation 3x + 7y = 9 to get y by itself on the left.

3x + 7y = 9

7y = -3x + 9

y = (-3/7)x + 9/7

Using the general slope-intercept form of y = mx + b, we see that the slope m = -3/7

Answer B.
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In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 27 Jun 2017, 13:05
In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

\(3x + 7y = 9\)

In order to determine the slope, we can arrange the equation in the SLOPE INTERCEPT form of the equation.

\(y = mx + b\) ===> Where m is the slope

\(3x + 7y = 9\)

\(7y = - 3x + 9\)

\(y = \frac{-3}{7} * x + \frac{9}{7}\)

Comparing above equation with \(y = mx + b\)

We get \(m = \frac{-3}{7}\)

Hence, Answer is B
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Re: In the xy-plane, what is the slope of the line with equation  [#permalink]

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New post 28 Dec 2017, 04:24
Hi Bunuel,

When you write difficult level say 600 Level, what is the basis of the same?
I think some questions fall around 500 level or less like these.

Thanks
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Re: In the xy-plane, what is the slope of the line with equation &nbs [#permalink] 28 Dec 2017, 04:24
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