Posted by **Anal-G** on Friday, January 14, 2011 at 8:09am.

write the equation of a line through (4,1) and:

A. parallel

B. perpendicular to the line through (7,3) and (5,-1).

=Express the equation in 5 different forms.

please help!!

- Analytic Geometry -
**drwls**, Friday, January 14, 2011 at 8:47am
A. The line through (7,3) and (5,-1)has slope

m = (y2-y1)/(x2-x1) = (-4)/(-2) = 2

To pass through (4,1) and be parallel to the given line, the equation must be

(y-1)/(x-4) = 2

y - 1 = 2x -8

y = 2x -7

I don't see why they need 5 variations of that. I'll leave that up to you.

One could be 2x -y = 7

B) To be perpendicular to the given line, the slope must be m = -1/2.

Proceed as in part A.

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