The slope, m of a line that passes through two points (x₁,y₁) and (x₂,y₂) is given by the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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:
[tex]m=\frac{1-0}{2-0}[/tex]
Simplify the expression for the slope:
[tex]m=\frac{1}{2}[/tex]
The required slope of the line is 1/2.
