AlgebraVery hardLine midway between two parallel lines
Algebra practice question
Line m lies exactly midway between the parallel lines y = 2x + 3 and y = 2x − 7 at every value of x. What is the y-coordinate of the point on line m where x = 6?
- A. 10Correct
- B. 12
- C. 8
- D. 15
Answer: A. 10
The midway line keeps slope 2 and takes the average intercept: (3 + (−7))/2 = −2. At x = 6, y = 2(6) − 2 = 10.
Why the other answers are wrong
- B. 12
- 12 uses intercept 0 — the average of 3 and −7 is −2, not 0.
- C. 8
- 8 comes from intercept −4; average 3 and −7 to get −2.
- D. 15
- 15 is the value on y = 2x + 3 at x = 6, not on the midway line.
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