AlgebraMediumReading slope and intercept from standard form
Algebra practice question
The line 3x − 6y = 12 is graphed in the xy-plane. What is the slope of the line?
- A. 1/2Correct
- B. −1/2
- C. 2
- D. −2
Answer: A. 1/2
Solve for y: −6y = −3x + 12, so y = (1/2)x − 2. The slope is 1/2.
Why the other answers are wrong
- B. −1/2
- −1/2 forgets that dividing −3x by −6 gives a positive coefficient.
- C. 2
- 2 is the reciprocal.
- D. −2
- −2 is the y-intercept, not the slope.
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