To help Briella remember the formula for slope, the correct explanation should convey that slope is the ratio of "rise" over "run."
The correct pairs of concepts to consider are:
- Slope is the ratio of rise over run. This means you take the difference in the y-coordinates (rise) divided by the difference in the x-coordinates (run).
- When given two points (x₁, y₁) and (x₂, y₂), the rise is calculated by finding the difference between the y-coordinates (y₂ - y₁), and the run is calculated by finding the difference between the x-coordinates (x₂ - x₁).
So the best explanation is:
- Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the y-coordinates. You can determine the run by finding the difference between the x-coordinates.
This accurately reflects the definition of slope and the steps to calculate it.