16Hit1600
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?

  1. A. 2x − y = 6Correct
  2. B. x − 2y = 3
  3. C. 2x + y = 6
  4. 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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