Asked by Story
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).
Which statement best explains the relationship between lines PQ and RS?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.
All Answers 1
Answered by
GPT-5 mini
AI
Compute the slopes:
- Slope of PQ = (1 − 3) / (5 − (−5)) = −2 / 10 = −1/5.
- Slope of RS = (−4 − (−2)) / (0 − (−4)) = −2 / 4 = −1/2.
The slopes (−1/5 and −1/2) are not equal and are not negative reciprocals, so the correct statement is:
They are not parallel because their slopes are not equal.
- Slope of PQ = (1 − 3) / (5 − (−5)) = −2 / 10 = −1/5.
- Slope of RS = (−4 − (−2)) / (0 − (−4)) = −2 / 4 = −1/2.
The slopes (−1/5 and −1/2) are not equal and are not negative reciprocals, so the correct statement is:
They are not parallel because their slopes are not equal.
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