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Re: In the xy-plane, what is the y-intercept of line? [#permalink]

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25 Sep 2009, 01:51

3

This post received KUDOS

1) insuff. l=> y=mx+n where m is slope and n is y intercept. so we can think it like. y=3nx+n. Therefore the y intercept, n, can be any value. 2)insuff. it says, when y=0, x becomes -1/3. Thus in a line l=y=mx+n 0=-1/3m+n 3n=m So it can be any value it is same as 1. Together 0=3n.-1/3+n 0=0 This does not give us anything. So insuff. Lets plug in some numbers. Say n=1 Then line becomes y=3x+1 both A and B works. Say n=2 then line becomes y=6x+2 both A and B works

Re: In the xy-plane, what is the y-intercept of line? [#permalink]

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29 Nov 2009, 14:41

Equation of a line is y = m*x + c where m is the slope of the line and c is the y-intercept, the value of y when x is zero.

Stmt-1: m = 3 * c. We can deduce nothing about the value of c based on this information. Stmt-2: x-intercept given is the value of x when y is zero. Therefore, 0 = m * (-1/3) + c. Solving it, we again get m = 3 * c.

As you see, both statements are the same and there is no point considering them together for possibility of answer choice C coming right.

Re: In the xy-plane, what is the y-intercept of line? [#permalink]

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29 Nov 2009, 15:09

BarneyStinson wrote:

Equation of a line is y = m*x + c where m is the slope of the line and c is the y-intercept, the value of y when x is zero.

Stmt-1: m = 3 * c. We can deduce nothing about the value of c based on this information. Stmt-2: x-intercept given is the value of x when y is zero. Therefore, 0 = m * (-1/3) + c. Solving it, we again get m = 3 * c.

As you see, both statements are the same and there is no point considering them together for possibility of answer choice C coming right.

Hence, E.

Thank you so much Barney! It is kind of clear now ) (5days left b4 my test )

Re: In the xy-plane, what is the y-intercept of line? [#permalink]

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29 Nov 2013, 06:55

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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In the x–y plane, what is the y–intercept of the line l?

Equation of a line in point intercept form is \(y=mx+b\), where: \(m\) is the slope of the line; \(b\) is the y-intercept of the line (the value of \(y\) for \(x=0\)).

The question is \(b=?\)

(1) The slope of line l is 3 times its y-intercept --> \(m=3b\). Not sufficient to calculate \(b\).

(2) The x-intercept of line l is -1/3 --> x-intercept is the value of \(x\) for \(y=0\) --> \(0=-\frac{1}{3}m+b\) --> \(m=3b\). Same info as above. Not sufficient.

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