AlgebraHardx-intercept of a line from a point and slope
Algebra practice question
In the xy-plane, a line with slope −3 passes through the point (2, 7). At what value of x does the line cross the x-axis?
Answer: 13/3 or 4.33
y = 7 − 3(x − 2) = 0 gives x − 2 = 7/3, so x = 13/3.
Common wrong answers
- If you answered 13
- 13 is the y-intercept, at x = 0.
- If you answered 7/3
- 7/3 is the distance from x = 2 to the intercept, not the intercept.
- If you answered -1/3
- −1/3 subtracts 7/3 from 2 instead of adding.
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