AlgebraMediumLine midway between two parallel lines
Algebra practice question
In the xy-plane, the lines y = 2x + 1 and y = 2x − 3 are parallel. What is the y-intercept of the line that is parallel to both and lies midway between them?
Answer: -1
The midway line has the same slope and a y-intercept halfway between 1 and −3: (1 + (−3))/2 = −1.
Common wrong answers
- If you answered 1
- 1 is the y-intercept of the first line.
- If you answered 2
- 2 is the slope.
- If you answered -2
- −2 is half of −4, the difference of the intercepts, not their average.
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