The

**slope** of a line is also called the

**rate of change**. Given two points on a line, (

*x*_{1},

*y*_{1}) and (

*x*_{2},

*y*_{2}), the slope is the ratio of the change in

*y* to the change in

*x*.

$m=\genfrac{}{}{0.07ex}{}{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$

In the table above, choose any two points to find the slope.

The calculation below shows finding the slope using the points (0, 1) and (1, 2).$\begin{array}{rcl}m& =& \genfrac{}{}{0.07ex}{}{2-1}{1-0}\\ & =& \genfrac{}{}{0.07ex}{}{1}{1}\\ & =& 1\end{array}$

In the graph above, choose any two points to find the slope.

The calculation below shows finding the slope using the points (1, 2) and (2, 3).$\begin{array}{rcl}m& =& \genfrac{}{}{0.07ex}{}{3-2}{2-1}\\ & =& \genfrac{}{}{0.07ex}{}{1}{1}\\ & =& 1\end{array}$