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?
- A. y = −2x + 6Correct
- B. y = 2x + 6
- C. y = −2x + 3
- 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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