AlgebraEasy–MediumLine parallel to a line in standard form
Algebra practice question
Which of the following is an equation of a line that is parallel to the line 6x − 3y = 12 in the xy-plane?
- A. y = 2x + 1Correct
- B. y = −2x + 4
- C. y = 3x − 6
- D. y = (1/2)x + 4
Answer: A. y = 2x + 1
6x − 3y = 12 is y = 2x − 4, with slope 2, and parallel lines share a slope.
Why the other answers are wrong
- B. y = −2x + 4
- Slope −2 is the negative of 2, not equal to it.
- C. y = 3x − 6
- Slope 3 copies a coefficient from the equation.
- D. y = (1/2)x + 4
- Slope 1/2 is the reciprocal, not the same slope.
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