AlgebraHardSlope of a line from standard form
Algebra practice question
The graph of 6x + 4y = 12 in the xy-plane is a line. What is the slope of the line?
Answer: -3/2 or -1.5
Solve for y: 4y = −6x + 12 → y = −(3/2)x + 3. The slope is −3/2.
Common wrong answers
- If you answered 3
- 3 is the y-intercept, not the slope.
- If you answered 3/2
- 3/2 has the wrong sign: moving 6x across changes its sign.
- If you answered -6
- −6 is the coefficient of x before dividing by 4.
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