Question

i want you to remember, rate of change is the same thing as slope of a line.
which of the following is the slope formula?
$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$\frac{x_{2}-x_{1}}{y_{2}-y_{1}}$
$\frac{y_{2}-x_{2}}{y_{1}-x_{1}}$
$\frac{x_{1}-y_{1}}{x_{2}-y_{2}}$

Explanation:

The slope of a line (rate of change) between two points $(x_1,y_1)$ and $(x_2,y_2)$ is defined as the ratio of the change in y-values to the change in x-values.

Answer:

$\boldsymbol{\frac{y_2-y_1}{x_2-x_1}}$ (the first option)