AlgebraVery hardLine through two points: value of a missing coordinate
Algebra practice question
In the xy-plane, the points (1, 4), (3, 10), and (k, 16) lie on the same line. What is the value of k?
Answer: 5
Slope from the first two points: (10 − 4)/(3 − 1) = 3. From (3, 10) to (k, 16) the rise is 6, so the run is 2: k = 5.
Common wrong answers
- If you answered 4
- 4 comes from a slope of 6 (using the rise without dividing by the run).
- If you answered 6
- 6 is the rise from 10 to 16, not the run.
- If you answered 7
- 7 adds 4 to 3 instead of 2.
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