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# Line k is in the rectangular coordinate system. If line k is defined

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Re: Line k is in the rectangular coordinate system. If line k is defined [#permalink]
Bunuel wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

A. -3
B. -2
C. 0
D. 2
E. 3

At x axis
Co-ordinate are (x, 0)
Therefore,

2x=-6
x=-3

A

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Re: Line k is in the rectangular coordinate system. If line k is defined [#permalink]
Bunuel wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

A. -3
B. -2
C. 0
D. 2
E. 3

Since (a, b) is the x-intercept of line k, the value of b would be zero, and we have:

0 = 2a + 6

-6 = 2a

-3 = a

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Re: Line k is in the rectangular coordinate system. If line k is defined [#permalink]
Bunuel wrote:
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

A. -3
B. -2
C. 0
D. 2
E. 3

I got the correct answer by solving another way:
I determined that the slope was 2/3 by dividing both sides by 3. That also yields y-intercept of 2. Knowing 2/3 to be the slope, I just subtracted 2 from y and 3 from x in the point (0,2) to determine that x=3 at the value of y=0.
I see that this is convoluted and took notes on everyone's (much easier) way of solving! But I want to pose this alternate method to ask if this is a sound strategy?
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Re: Line k is in the rectangular coordinate system. If line k is defined [#permalink]
Top Contributor
chandlerrock wrote:

I got the correct answer by solving another way:
I determined that the slope was 2/3 by dividing both sides by 3. That also yields y-intercept of 2. Knowing 2/3 to be the slope, I just subtracted 2 from y and 3 from x in the point (0,2) to determine that x=3 at the value of y=0.
I see that this is convoluted and took notes on everyone's (much easier) way of solving! But I want to pose this alternate method to ask if this is a sound strategy?

That's a perfectly sound strategy!! Nice work!
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Re: Line k is in the rectangular coordinate system. If line k is defined [#permalink]
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Re: Line k is in the rectangular coordinate system. If line k is defined [#permalink]
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