AlgebraVery hardReflection of a line across the x-axis
Algebra practice question
In the xy-plane, line m is the reflection of the line y = 2x − 3 across the x-axis. What is the y-coordinate of the point where line m crosses the y-axis?
Answer: 3
Reflecting across the x-axis replaces y with −y: −y = 2x − 3, so y = −2x + 3, whose y-intercept is 3.
Common wrong answers
- If you answered 2
- 2 is the original slope, which becomes −2.
- If you answered -3
- −3 is the original line's y-intercept; the reflection flips its sign.
- If you answered 1.5
- 1.5 is the x-intercept, which does not move under this reflection.
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