AlgebraHardGraph features from standard form
Algebra practice question
The graph of 5x + 2y = 20 is a line in the xy-plane. Which statement about the line is true?
- A. Its x-intercept is 4 and its slope is −5/2.Correct
- B. Its x-intercept is 10 and its slope is 5/2.
- C. Its y-intercept is 4 and its slope is −5/2.
- D. Its x-intercept is 4 and its slope is −2/5.
Answer: A. Its x-intercept is 4 and its slope is −5/2.
x-intercept: y = 0 gives x = 4. Solving for y: y = −(5/2)x + 10, slope −5/2 (y-intercept 10).
Why the other answers are wrong
- B. Its x-intercept is 10 and its slope is 5/2.
- 10 is the y-intercept, and the slope is negative.
- C. Its y-intercept is 4 and its slope is −5/2.
- The y-intercept is 10, not 4.
- D. Its x-intercept is 4 and its slope is −2/5.
- −2/5 is the reciprocal of the slope.
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