Given:
The objective is to find the explain the slope of a graph with an example.
The slope of a graph can be identified by the formula,
![m=\frac{y_2-y_1_{}}{x_2-x_1}](https://img.qammunity.org/2023/formulas/mathematics/college/itow37fe9c3rw2hs8vaimoo8ia56kj3lm0.png)
Here, x and y represents the any two coordinates of a graph.
Consider a graph of straight line with two coordinates.
Consider,
![\begin{gathered} (x_1,y_1)=(2,1) \\ (x_2,y_2)=(4,2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/snxvgy5avl4wlj6zk0xgx375rauacso2kc.png)
Now substitute the values in the formula of slope.
![\begin{gathered} m=(2-1)/(4-2) \\ m=(1)/(2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/w4e7083bhftkavjm4mucg175ca37gnlvqv.png)
Hence, the slope of the graph is 1/2.