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

Question

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

=Express the equation in 5 different forms.

please help!!

Answer 1

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.