AlgebraEasy–MediumPoint on a line
Algebra practice question
Which of the following points lies on the line y = 3x − 2 in the xy-plane?
- A. (2, 4)Correct
- B. (4, 2)
- C. (1, 5)
- D. (0, 2)
Answer: A. (2, 4)
Substitute x = 2: y = 3(2) − 2 = 4. So (2, 4) is on the line.
Why the other answers are wrong
- B. (4, 2)
- (4, 2) has x = 4, y = 2, but 3(4) − 2 = 10, not 2. The coordinates are in the wrong order.
- C. (1, 5)
- 3(1) − 2 = 1, not 5. (1, 5) would be on y = 3x + 2.
- D. (0, 2)
- 3(0) − 2 = −2, not 2. The y-intercept is (0, −2).
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