The slope, m of a line that passes through two points (x₁,y₁) and (x₂,y₂) is given by the slope formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
Notice that the given line (from its graph) passes through the points (0,0) and (2,1).
Hence, substitute (x₁,y₁)=(0,0) and (x₂,y₂)=(2,1) into the slope formula:
![m=(1-0)/(2-0)](https://img.qammunity.org/2023/formulas/mathematics/high-school/udns9wu1lrvxfl1j6ecpquuc34yh9u9zh1.png)
Simplify the expression for the slope:
![m=(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/63mpsjd7uhd9il1h5mgdlhza64l0oq6n0m.png)
The required slope of the line is 1/2.