AlgebraVery hardFinding a coordinate on a line through two points
Algebra practice question
In the xy-plane, a line passes through the points (−2, 7) and (4, −2). If the point (k, 1) also lies on the line, what is the value of k?
Answer: 2
The slope is (−2 − 7)/(4 + 2) = −3/2, so the line is y = −(3/2)x + 4. Setting y = 1 gives −(3/2)k = −3, so k = 2.
Common wrong answers
- If you answered 1
- 1 is the given y-coordinate.
- If you answered 4
- 4 is the y-intercept.
- If you answered -2
- −2 uses the slope with the wrong sign.
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