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Parallel Line Concept Problem

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Parallel Line Concept Problem [#permalink] New post 27 Aug 2010, 22:08
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C
D
E

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The graph of which of the following equations is a straight line that is parallel to line l in the figure (attached in file)?
A. 3y – 2x = 0
B. 3y + 2x = 0
C. 3y + 2x = 6
D. 2y – 3x = 6
E. 2y + 3x = -6

What is the concept of parellel line equation?
[Reveal] Spoiler: OA

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Re: Parallel Line Concept Problem [#permalink] New post 28 Aug 2010, 06:20
There are two points through which the line passes -> (-3,0) & (0,2)

Slope: m = (Y2-Y1)/(X2-X1) ; when a line passes through any two points (X1,Y1) & (X2,Y2)

in this case slope = 2/3.

A parallel line will have same slope to the given line & we need to express each equation in the form Y = mX+C where m is the slope.
In option A
Y = (2/3)X +0 -> m = 2/3 & C=0

Hence answer is A.
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Re: Parallel Line Concept Problem [#permalink] New post 28 Aug 2010, 06:28
Hello :)

First you have to find the equation of the line we have in the figure. I think that you should know how to find it.

We know that f(0) = 2 and f(-3) = 0
Therefore the equation is y = 2/3 x + 2
<=> y - 2/3 x = 2
<=> 3y - 2x = 2

Two lines are parallel if and only if for Ay + Bx = K, A and B are equal in both equation, and K being a constant.

Therefore in this example, any line that has an equation such as 3y - 2x = K is parallel to the line that is in the figure.

The correct answer is A.

Hope it helps, and sorry for my english :)
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Re: Parallel Line Concept Problem [#permalink] New post 28 Aug 2010, 06:34
Expert's post
udaymathapati wrote:
The graph of which of the following equations is a straight line that is parallel to line l in the figure (attached in file)?
A. 3y – 2x = 0
B. 3y + 2x = 0
C. 3y + 2x = 6
D. 2y – 3x = 6
E. 2y + 3x = -6

What is the concept of parellel line equation?


For more on this issue please check Coordinate Geometry chapter of Math Book (link in my signature).

Hope it helps.
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Re: Parallel Line Concept Problem   [#permalink] 28 Aug 2010, 06:34
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