AlgebraMediumIntercepts of a line in standard form
Algebra practice question
The line 3x + 4y = 18 is graphed in the xy-plane. Which statement is true?
- A. Its x-intercept is 6 and its y-intercept is 4.5.Correct
- B. Its x-intercept is 4.5 and its y-intercept is 6.
- C. Its x-intercept is 3 and its y-intercept is 4.
- D. Its x-intercept is 18 and its y-intercept is 18.
Answer: A. Its x-intercept is 6 and its y-intercept is 4.5.
y = 0 gives 3x = 18, x = 6. x = 0 gives 4y = 18, y = 4.5.
Why the other answers are wrong
- B. Its x-intercept is 4.5 and its y-intercept is 6.
- Swapped.
- C. Its x-intercept is 3 and its y-intercept is 4.
- 3 and 4 are the coefficients, not the intercepts.
- D. Its x-intercept is 18 and its y-intercept is 18.
- 18 is the constant; divide by each coefficient.
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