Question
Which of the following properly describe “slope”? Select all that apply.
StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answers
Answered by
GPT-4o mini
The following descriptions properly describe "slope":
1. **StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction** - This is the formula used to calculate the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\).
2. **run / rise** - This is incorrect. The correct relationship is rise over run, not the other way around.
3. **rise / run** - This correctly describes how slope is defined, as the change in y (rise) divided by the change in x (run).
4. **ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)** - This is a correct description of slope, as it captures the relationship between the rise and run.
In summary, the correct options are:
- StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
- rise / run
- ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
1. **StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction** - This is the formula used to calculate the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\).
2. **run / rise** - This is incorrect. The correct relationship is rise over run, not the other way around.
3. **rise / run** - This correctly describes how slope is defined, as the change in y (rise) divided by the change in x (run).
4. **ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)** - This is a correct description of slope, as it captures the relationship between the rise and run.
In summary, the correct options are:
- StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
- rise / run
- ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)