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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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15 Oct 2012, 03:15
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Difficulty:

5% (low)

Question Stats:

89% (00:21) correct 11% (00:36) wrong based on 1249 sessions

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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
[Reveal] Spoiler: OA

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

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15 Oct 2012, 03:15
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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 $$-\frac{3}{7}$$.

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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15 Oct 2012, 03:27
2
KUDOS
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 $$-3/7$$
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Re: In the xy-plane, what is the slope of the line with equation [#permalink]

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15 Oct 2012, 06:28
2
KUDOS
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

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

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15 Oct 2012, 09:54
1
KUDOS
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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15 Oct 2012, 22:33
2
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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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16 Oct 2012, 02:35
2
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7y=-3x + 9

the equation of a slop is y=mx+b

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

hence slope is -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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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 $$-\frac{3}{7}$$.

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

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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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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

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

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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 $$m = \frac{-3}{7}$$

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

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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   [#permalink] 28 Dec 2017, 04:24
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