AlgebraEasy–MediumAnother point on a line through two given points
Algebra practice question
In the xy-plane, a line passes through (2, 5) and (4, 11). Which of the following points also lies on the line?
- A. (0, −1)Correct
- B. (0, 1)
- C. (3, 7)
- D. (6, 16)
Answer: A. (0, −1)
The slope is 3, so the line is y = 3x − 1, and (0, −1) fits.
Why the other answers are wrong
- B. (0, 1)
- 3(0) − 1 = −1, not 1.
- C. (3, 7)
- 3(3) − 1 = 8, not 7.
- D. (6, 16)
- 3(6) − 1 = 17, not 16.
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