AlgebraVery hardThird point from two intercepts
Algebra practice question
In the xy-plane, a line has x-intercept 4 and y-intercept −2. The point (6, k) lies on the line. What is the value of k?
Answer: 1
Slope = (0 − (−2))/(4 − 0) = 1/2, so y = x/2 − 2. At x = 6, y = 1.
Common wrong answers
- If you answered 3
- 3 forgets the −2.
- If you answered 10
- 10 uses slope 2.
- If you answered -1
- −1 has the slope's sign wrong.
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