16Hit1600
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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