AlgebraHardSlope after finding a coefficient from a point
Algebra practice question
In the xy-plane, the line kx + 2y = 8 passes through the point (2, 1), where k is a constant. What is the slope of the line?
Answer: -3/2 or -1.5
2k + 2 = 8 → k = 3. The line 3x + 2y = 8 has slope −3/2.
Common wrong answers
- If you answered 3
- 3 is k, not the slope.
- If you answered 3/2
- 3/2 has the wrong sign.
- If you answered -2/3
- −2/3 inverts the slope.
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