AlgebraEasy–MediumTesting whether a point is on a line
Algebra practice question
Which of the following points lies on the graph of 4x − y = 10 in the xy-plane?
- A. (3, 2)Correct
- B. (2, 3)
- C. (0, 10)
- D. (5, −10)
Answer: A. (3, 2)
A point is on the line if its coordinates satisfy the equation. For (3, 2): 4(3) − 2 = 12 − 2 = 10. It works.
Why the other answers are wrong
- B. (2, 3)
- For (2, 3): 4(2) − 3 = 5, not 10. The coordinates are in the wrong order for this line.
- C. (0, 10)
- For (0, 10): 4(0) − 10 = −10, not 10. The sign is wrong; (0, −10) would be on the line.
- D. (5, −10)
- For (5, −10): 4(5) − (−10) = 30, not 10.
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