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AlgebraEasy–MediumEquation from the two intercepts

Algebra practice question

Which equation represents the line in the xy-plane with an x-intercept of 3 and a y-intercept of 6?

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

Answer: A. y = −2x + 6

The line passes through (3, 0) and (0, 6). Slope: (6 − 0)/(0 − 3) = −2, and the y-intercept is 6: y = −2x + 6. Check: at x = 3, y = −6 + 6 = 0.

Why the other answers are wrong

B. y = 2x + 6
y = 2x + 6 has the right intercept but crosses the x-axis at x = −3.
C. y = −2x + 3
y = −2x + 3 has a y-intercept of 3, not 6.
D. y = 3x + 6
y = 3x + 6 crosses the x-axis at x = −2.

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