Question

1. the slope of a graph may also be considered a ratio of “changes”. what “changes” make up this ratio?

Explanation:

Step1: Recall slope formula

The slope $m$ of a line between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. The numerator $y_2 - y_1$ represents the change in the $y$ - values (vertical change, often called "rise") and the denominator $x_2 - x_1$ represents the change in the $x$ - values (horizontal change, often called "run").

Answer:

The ratio of the change in the $y$ - values (vertical change) to the change in the $x$ - values (horizontal change) makes up the slope ratio.