AlgebraMediumSlope that is the negative reciprocal of another
Algebra practice question
In the xy-plane, which of the following lines has a slope that is the negative reciprocal of the slope of the line y = 4x − 1?
- A. y = −(1/4)x + 2Correct
- B. y = (1/4)x
- C. y = −4x
- D. y = 4x + 3
Answer: A. y = −(1/4)x + 2
The slope of y = 4x − 1 is 4; its negative reciprocal is −1/4.
Why the other answers are wrong
- B. y = (1/4)x
- 1/4 is the reciprocal without the sign change.
- C. y = −4x
- −4 is the negative without the reciprocal.
- D. y = 4x + 3
- 4 is the same slope.
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