Question

Construct the graph of the lines, one line going through the points (0,2) and (4,-4) and the other line going through (0,-2) and (3,0). Determine the slopes of the two lines, and then categorize the set of lines as parallel, perpendicular, or neither

Answer 1

Perpendicular lines

- 3/2 is the negative reciprocal of 2/3

Explanation:

(0,2) and (4,-4)

m = (-4-2)/(4-0)

m = -6/4 = - 3/2

(0,-2) and (3,0)

m = ( -2-0)/(0-3)

m = -2/-3 = 2/3