Analytic Geometry
posted by AnalG .
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!!

A. The line through (7,3) and (5,1)has slope
m = (y2y1)/(x2x1) = (4)/(2) = 2
To pass through (4,1) and be parallel to the given line, the equation must be
(y1)/(x4) = 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.