tell whether the lines through these pairs of points are parallel, perpendicular, or neither. Line 1: (-3, 2) and (4, 6); lines 2: (-5, 7) and (-9, 14).

Question

parallel

perpendicular

neither

Answer 1

Line 1: (-3, 2) and (4, 6)

Slope of Line 1 = (6-2)/(4-(-3)) = 4/7

Line 2: (-5, 7) and (-9, 14)

Slope of Line 2 = (14-7)/(-9-(-5)) = 7/-4 = -7/4

Since the slopes of the two lines are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular.