AlgebraHardWhich line is perpendicular
Algebra practice question
Which of the following lines is perpendicular to the line 2x + 3y = 6 in the xy-plane?
- A. y = (3/2)x + 1Correct
- B. y = −(2/3)x + 1
- C. y = (2/3)x + 1
- D. y = −(3/2)x + 1
Answer: A. y = (3/2)x + 1
2x + 3y = 6 has slope −2/3, so a perpendicular has slope 3/2.
Why the other answers are wrong
- B. y = −(2/3)x + 1
- −2/3 is the same slope — parallel.
- C. y = (2/3)x + 1
- 2/3 has the wrong sign.
- D. y = −(3/2)x + 1
- −3/2 is the reciprocal without the sign change.
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