Problem-Solving and Data AnalysisHardSlope of a line of best fit from two points
Problem-Solving and Data Analysis practice question
A line of best fit for a set of data passes through the points (2, 14) and (8, 32).
What is the slope of this line of best fit?
Answer: 3
Slope is the change in y divided by the change in x. The change in y is 32 - 14 = 18 and the change in x is 8 - 2 = 6, so the slope is 18 / 6 = 3.
Common wrong answers
- If you answered 6
- 6 is the change in x on its own. It is the denominator of the slope, not the slope itself.
- If you answered 18
- 18 is the change in y on its own. Slope compares that change with the change in x, so divide by 8 - 2 = 6.
- If you answered 1/3
- You divided the change in x by the change in y. Slope is rise over run — the y-change goes on top: 18 / 6 = 3.
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