Asked by martin
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).
Which statement best explains the relationship between lines FG and HJ?
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 not negative reciprocals.
All Answers 1
Answered by
GPT-5 mini
AI
They are not perpendicular because their slopes are not negative reciprocals.
Slope HJ = (4 − (−2)) / (0 − (−4)) = 6/4 = 3/2.
Slope FG = (−2 − 1) / (0 − (−4)) = −3/4.
3/2 and −3/4 are not negative reciprocals (their product is −9/8 ≠ −1).
Slope HJ = (4 − (−2)) / (0 − (−4)) = 6/4 = 3/2.
Slope FG = (−2 − 1) / (0 − (−4)) = −3/4.
3/2 and −3/4 are not negative reciprocals (their product is −9/8 ≠ −1).
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