AlgebraMediumGraph of a linear function: which passes through two points
Algebra practice question
A linear function's graph passes through (2, 7) and (5, 16). Which of the following points is also on the graph?
- A. (0, 1)Correct
- B. (1, 3)
- C. (3, 9)
- D. (4, 12)
Answer: A. (0, 1)
Slope (16 − 7)/(5 − 2) = 3, so y = 3x + b; 7 = 6 + b gives b = 1. y = 3x + 1 passes through (0, 1).
Why the other answers are wrong
- B. (1, 3)
- (1, 3): 3(1) + 1 = 4, not 3.
- C. (3, 9)
- (3, 9): 3(3) + 1 = 10, not 9.
- D. (4, 12)
- (4, 12): 3(4) + 1 = 13, not 12.
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