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

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Bunuel
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In the xy-plane, what is the slope of the line with equation [#permalink] New post   15 Oct 2012, 04:15
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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
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B
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Bunuel
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Re: In the xy-plane, what is the slope of the line with equation [#permalink] New post   15 Oct 2012, 04:15
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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 \(-\frac{3}{7}\).

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] New post   15 Oct 2012, 04:27
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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] New post   15 Oct 2012, 07:28
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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] New post   15 Oct 2012, 10:54
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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

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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] New post   15 Oct 2012, 23:33
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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] New post   16 Oct 2012, 03:35
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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

Answer B
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Re: In the xy-plane, what is the slope of the line with equation [#permalink] New post   03 Jun 2016, 06:36
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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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Re: In the xy-plane, what is the slope of the line with equation [#permalink] New post   03 Jun 2023, 01:42
To find the slope of the line with the equation 3x + 7y = 9, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope.

Let's manipulate the given equation to isolate y:

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

By comparing this equation with y = mx + b, we can see that the slope (m) is (B) -3/7.
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Re: In the xy-plane, what is the slope of the line with equation [#permalink]
03 Jun 2023, 01:42
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