AlgebraVery hardIdentifying a line from its intercepts in standard form
Algebra practice question
Which of the following lines has x-intercept 3 and y-intercept −6 in the xy-plane?
- A. 2x − y = 6Correct
- B. x − 2y = 3
- C. 2x + y = 6
- D. x + 2y = −6
Answer: A. 2x − y = 6
Check (3, 0): 6 − 0 = 6 ✓. Check (0, −6): 0 + 6 = 6 ✓.
Why the other answers are wrong
- B. x − 2y = 3
- x − 2y = 3 has y-intercept −1.5.
- C. 2x + y = 6
- 2x + y = 6 has y-intercept 6, not −6.
- D. x + 2y = −6
- x + 2y = −6 has x-intercept −6.
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