AlgebraVery hardVertical gap between parallel lines
Algebra practice question
In the xy-plane, the lines y = 2x + 3 and y = 2x − 5 are parallel. For any value of x, what is the vertical distance between the two lines?
Answer: 8
At any x, the difference of the y-values is (2x + 3) − (2x − 5) = 8.
Common wrong answers
- If you answered 2
- 2 is the shared slope.
- If you answered 4
- 4 halves the gap.
- If you answered -2
- −2 adds the intercepts.
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