AlgebraMediumSlope from a point and an x-intercept
Algebra practice question
In the xy-plane, a line passes through the point (−1, 2) and has x-intercept 3. What is the slope of the line?
Answer: -1/2 or -0.5
The x-intercept is the point (3, 0). Slope = (0 − 2)/(3 − (−1)) = −2/4 = −1/2.
Common wrong answers
- If you answered 1/2
- 1/2 has the wrong sign: the line falls from (−1, 2) to (3, 0).
- If you answered -2
- −2 is the change in y alone, not divided by the change in x.
- If you answered -1
- −1 comes from using (3, 0) and (1, 2), misreading the point's x-coordinate.
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