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Line P is described by the equation 3x + 2y - 4 = 0. Which

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Line P is described by the equation 3x + 2y - 4 = 0. Which [#permalink] New post 18 Jun 2011, 20:01
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58% (02:32) correct 42% (01:30) wrong based on 93 sessions
Line P is described by the equation 3x + 2y - 4 = 0. Which of the following lines is parallel to P and has the same x-intercept as the line 5x - y + 10 = 0?

A. 6x = -4y + 8
B. -y = (3/2)x + 5
C. 3y = (- 9/2)x - 9
D. 4x + 6y +8 = 0
E. 6x - 4y = -12
[Reveal] Spoiler: OA
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Re: Coordinate Geometry Problem [#permalink] New post 18 Jun 2011, 23:41
Eqn of line parallel to 3x + 2y - 4 = 0 will be of the form 3x + 2y + k = 0 where k is a constant.

From the 5 options only options A and C satisfy the above. So eliminate the others from this condition itself.

Also, x intercept of line 5x - y + 10 = 0 is -2. To find x intercept, substitute y = 0. Hence we get x intercept = -2.

From A, on simplifying we get -> 3x + 2y - 8 = 0. x intercept = 8/3. Not what we want, so eliminate.

From C, we get -> 3x + 2y + 6 = 0. Thus x intercept = -2. Bingo!

Answer C.
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Re: Coordinate Geometry Problem [#permalink] New post 19 Jun 2011, 00:43
guygmat wrote:
Line P is described by the equation 3x + 2y - 4 = 0. Which of the following lines is parallel to P and has the same x-intercept as the line 5x - y + 10 = 0?
Choices

A)6x = -4y + 8
B)-y = (3/2)x + 5
C)3y = (- 9/2)x - 9
D)4x + 6y +8 = 0
E)6x - 4y = -12


Line parallel to P will have same slope as P. Also it has same x-intercept as line 5x-y+10=0 i.e x=-2
Slope of line P 2y=-3x+4 => slope = -3/2

Look for an answer with x-intercept =-2 and slope =-3/2

A) x-intercept = 4/3. Eliminate
B) x-intercept = -10/3 Eliminate
C) x-intercept = -2. Also, slope = -3/2. We have the answer.

OA C.
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Re: Coordinate Geometry Problem   [#permalink] 19 Jun 2011, 00:43
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Line P is described by the equation 3x + 2y - 4 = 0. Which

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