16Hit1600
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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