AlgebraHardEquation of a line from a graph's description
Algebra practice question
A line in the xy-plane crosses the y-axis at (0, 5) and the x-axis at (10, 0). Which equation represents the line?
- A. x + 2y = 10Correct
- B. 2x + y = 10
- C. x − 2y = 10
- D. x + 2y = 5
Answer: A. x + 2y = 10
Check (0, 5): 0 + 10 = 10 ✓. Check (10, 0): 10 + 0 = 10 ✓.
Why the other answers are wrong
- B. 2x + y = 10
- 2x + y = 10 has y-intercept 10 and x-intercept 5 — swapped.
- C. x − 2y = 10
- x − 2y = 10 has y-intercept −5.
- D. x + 2y = 5
- x + 2y = 5 has x-intercept 5.
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