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# In the xy plane, what is the slope of line

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Current Student
Joined: 28 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
In the xy plane, what is the slope of line  [#permalink]

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22 Dec 2017, 10:52
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:25) correct 3% (00:58) wrong based on 47 sessions

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In the xy plane what is the slope of line 3x + 3y = 5?

a) -3
b) -1
c) 3/5
d) 5/3
e) 3

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4486
Re: In the xy plane, what is the slope of line  [#permalink]

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23 Dec 2017, 12:55
saswata4s wrote:
In the xy plane what is the slope of line 3x + 3y = 5?

a) -3
b) -1
c) 3/5
d) 5/3
e) 3

Dear saswata4s,

I'm happy to respond.

My friend, I don't know the source of this question. To be honest, it seems a little easier than the GMAT might ask, except possibly on one of the easiest questions.

When we solve the equation of a line for y, we automatically put it into y = mx + b form, where m is the slope and b is the y-intercept. See
GMAT Math: Lines & Slope in the x-y plane

3x + 3y = 5

3y = -3x + 5

y = -x + 5/3

The slope is m = -1 and the y-intercept is b = 5/3. As it happens, the x-intercept has the same value, x = 5/3, because a line with a slope of m = -1 always has the same numerical value for its x- and y-intercepts.

Does all this make sense?
Mike
_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Re: In the xy plane, what is the slope of line   [#permalink] 23 Dec 2017, 12:55
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