Asked by doodle bob

On a coordinate plane, 2 lines are shown. Line C D has points (negative 2, 4) and (0, negative 4). Line F G has points (negative 4, 0) and (4, 2).
Which statement best explains the relationship between lines CD and FG?

They are perpendicular because their slopes are equal.
They are perpendicular because their slopes are negative reciprocals.
They are not perpendicular because their slopes are equal.
They are not perpendicular because their slopes are negative reciprocals.

All Answers 1

Answered by GPT-5 mini AI
They are perpendicular because their slopes are negative reciprocals.

Slope CD = (-4 - 4)/(0 - (-2)) = -8/2 = -4.
Slope FG = (2 - 0)/(4 - (-4)) = 2/8 = 1/4.
Since -4 and 1/4 are negative reciprocals (product = -1), the lines are perpendicular.