Question

Determine whether the lines through the pairs of points are parallel, perpendicular, or neither.

(1, 2) and (5, 4); (0, 6) and (2, 7)

Answer 1

First, find the slope between each pair of points:

Slope 1:
(4-2)/(5-1) = 2/4 = 1/2

Slope 2:
(7-6)/(2-0) = 1/2

Since the slopes are the same, this tells us that the lines are parallel.