Parallel lines.

May 2010
37
0
How would I find...
Which of the following is an equation of the line in the xy-plane that passes through the point (2,-1) and that is parallel to the line with equation 2x-3y=5?

A) y= -2x-3/2
B) y= -3/2x + 2
C) y= 2/3x-7/3
D) y= 2/3x-1
 
Dec 2008
901
339
Scotland
How would I find...
Which of the following is an equation of the line in the xy-plane that passes through the point (2,-1) and that is parallel to the line with equation 2x-3y=5?

A) y= -2x-3/2
B) y= -3/2x + 2
C) y= 2/3x-7/3
D) y= 2/3x-1
I recommend you do the following:

Rearrange the equation into the form \(\displaystyle y = mx+c \). \(\displaystyle m\) will be the gradient, hence find which equations from list have the same gradient. Then input your point into the equation and solve for c, and find the c that matches from the list.
 
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