AlgebraEasyEquation from an intercept and a rise
Algebra practice question
In the xy-plane, the graph of a linear function passes through (0, 2) and rises 3 units for every 1 unit it moves to the right. Which equation defines the function?
- A. y = 3x + 2Correct
- B. y = 2x + 3
- C. y = 3x − 2
- D. y = x + 5
Answer: A. y = 3x + 2
Slope 3 and y-intercept 2: y = 3x + 2.
Why the other answers are wrong
- B. y = 2x + 3
- Slope and intercept swapped.
- C. y = 3x − 2
- The intercept is +2, not −2.
- D. y = x + 5
- Slope 1 is wrong, and (0, 2) is not on this line.
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