AlgebraEasy–MediumThird point on a line
Algebra practice question
The points (1, 5), (3, 11), and (5, k) lie on the same line in the xy-plane. What is the value of k?
Answer: 17
The slope from (1, 5) to (3, 11) is 3, so from x = 3 to x = 5 the y-value rises by 6, from 11 to 17.
Common wrong answers
- If you answered 13
- 13 adds 2 to 11, the change in x.
- If you answered 14
- 14 adds 3 once instead of twice.
- If you answered 16
- 16 treats the rise from 5 to 11 as continuing by 5.
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