AlgebraHardParallel line through a point
Algebra practice question
Which of the following defines a linear function whose graph in the xy-plane is parallel to the graph of y = 3x − 2 and passes through the point (1, 7)?
- A. f(x) = 3x + 4Correct
- B. f(x) = 3x + 7
- C. f(x) = −3x + 10
- D. f(x) = 4x + 3
Answer: A. f(x) = 3x + 4
Parallel means slope 3; f(1) = 7 gives 3 + b = 7, so b = 4.
Why the other answers are wrong
- B. f(x) = 3x + 7
- f(1) = 10, not 7.
- C. f(x) = −3x + 10
- Slope −3 is not parallel to slope 3.
- D. f(x) = 4x + 3
- Slope 4 is not parallel.
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