Determine whether the line through ( 0, 4) and (2,0) and the line through ( -2, 3) and ( -4, 2) are parallel, perpendicular, or neither.

Answer 1

2 lines parallel ---> their slopes are the same
2 line perpendicular ----> their slope are opposite reciprocals of each other,
e.g 4/7 and =7/4
If the slope are neither of these two, the lines are of no special interest.

I will do the slope of the more difficult calculation:
line through ( -2, 3) and ( -4, 2)
slope = (2 - 3)/(-4 - (-2))
= -1/-2
= 1/2

find the other slope and state your conclusion.