AlgebraEasy–MediumEquation of a line through two points
Algebra practice question
The graph of a linear function passes through the points (0, 5) and (2, 1). Which equation defines the function?
- A. y = −2x + 5Correct
- B. y = 2x + 5
- C. y = −2x + 1
- D. y = −(1/2)x + 5
Answer: A. y = −2x + 5
The slope is (1 − 5)/(2 − 0) = −2, and the y-intercept is 5.
Why the other answers are wrong
- B. y = 2x + 5
- The slope should be negative: y falls as x rises.
- C. y = −2x + 1
- The y-intercept is 5, not 1.
- D. y = −(1/2)x + 5
- The slope is −2, not −1/2.
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