AlgebraHardY-intercept after reflecting a line
Algebra practice question
In the xy-plane, the line y = 2x − 3 is reflected across the x-axis. What is the y-intercept of the reflected line?
Answer: 3
Reflecting across the x-axis changes y to −y, giving y = −2x + 3, whose y-intercept is 3.
Common wrong answers
- If you answered 2
- 2 is the original slope.
- If you answered -3
- −3 is the original line's y-intercept.
- If you answered -2
- −2 is the reflected slope.
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