AlgebraHardProduct of a line's slope and y-intercept
Algebra practice question
The graph of x − 2y = −6 in the xy-plane is a line. What is the product of the line's slope and its y-intercept?
Answer: 3/2 or 1.5
Solve for y: −2y = −x − 6 → y = (1/2)x + 3. Slope 1/2, y-intercept 3, product 3/2.
Common wrong answers
- If you answered 6
- 6 is the y-intercept's coordinate doubled; the slope is 1/2, not 2.
- If you answered -3
- −3 comes from a slope of −1 (misreading the sign) times 3.
- If you answered -6
- −6 is the x-intercept, not a product.
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