AlgebraHardx-intercept of a line after finding its slope from a point
Algebra practice question
In the xy-plane, the line y = kx + 2 passes through the point (−2, 8), where k is a constant. What is the x-intercept of the line?
Answer: 2/3
8 = −2k + 2 → k = −3. Then 0 = −3x + 2 → x = 2/3.
Common wrong answers
- If you answered 2
- 2 is the y-intercept.
- If you answered -2/3
- −2/3 has the wrong sign: 3x = 2.
- If you answered -3
- −3 is k, the slope.
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