Question

8. Tell whether the slope from A to B is parallel, perpendicular, or neither to the slope from C to D. Be Sure to Show the slope for both in your answer.

A(-3,2) and B(2,4)
C(4,0) and D(6,-5)

Answer 1

point-slope formula;
m = y2 - y1 / x2 - x1. (-3, 2) (2, 4)
m = 4 - 2 / 2 - (-3)
m = 2/5

m = y2 - y1 / x2 - x1. (4, 0) (6, -5)
m = -5 - 0 / 6 - 4
m = -5/2

both slopes are perpendicular since they aren't the same value.

hope this helps, God bless!

Answer 2

top slope is 2/5
bottom slope is -5/2
lines are perpendicular