AlgebraHardWhich line is parallel to a given line
Algebra practice question
Which of the following lines is parallel to the line 4x − 2y = 6 in the xy-plane?
- A. y = 2x + 5Correct
- B. y = −2x + 5
- C. y = (1/2)x + 5
- D. y = −(1/2)x + 5
Answer: A. y = 2x + 5
4x − 2y = 6 gives y = 2x − 3, slope 2. A parallel line also has slope 2.
Why the other answers are wrong
- B. y = −2x + 5
- −2 has the wrong sign.
- C. y = (1/2)x + 5
- 1/2 is the reciprocal.
- D. y = −(1/2)x + 5
- −1/2 is the perpendicular slope.
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