AlgebraMediumSlope from a point and the y-intercept
Algebra practice question
The graph of the linear function f in the xy-plane passes through the point (2, 5) and has a y-intercept of −1. What is the slope of the graph?
Answer: 3
The y-intercept gives the point (0, −1). Slope: (5 − (−1))/(2 − 0) = 6/2 = 3.
Common wrong answers
- If you answered 2
- 2 comes from (5 − 1)/2, treating the intercept as +1.
- If you answered 6
- 6 is the rise alone; divide by the run, 2.
- If you answered 0.5
- 0.5 is run over rise; slope is rise over run.
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