Question

Which of the following properly describe "slope "? Select all that apply. run / rise rise/ run ratio of the change in y-values (rise) for a segment of the graph to the coresponding change in x-values (run)

Answer 1

Answer:

The correct choices are:

`\begin{gathered} (y_2-y_1)/(x_2-x_1) \\ \text{Rise / run} \\ \text{Ratio of the change in the y values to the (rise) for a segment of the } \\ to\text{ the corresponding change in x values (run)} \end{gathered}`Explanations:

The slope of a graph is the ratio of the change in the vertical direction to the change in the horizontal direction taking into account two separate points on the line.

If the coordinates of the first point are (x₁, y₁ ) and the corrdinates of the second point on the graph are (x₂, y₂), the formula for the slope is given by:

`\text{Slope = }(y_2-y_1)/(x_2-x_1)`

Which can also be interpreted as the ratio oof the rise to the run on the graph:

Slope = Rise / Run