To determine the slope of a line you need to know at least two points of the line.
The formula to determine the slope is:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]Where
(x₁,y₁) are the coordinates of one point of the line
(x₂,y₂) are the coordinates of a second point of the line
First, determine two points of the line, for example, you can use the point (2,1) as (x₁,y₁) and the y-intercept with coordinates (0,-2) as (x₂,y₂)
Then, replace the coordinates of both points on the formula to calculate the slope:
[tex]\begin{gathered} m=\frac{1-(-2)}{2-0} \\ m=\frac{1+2}{2} \\ m=\frac{3}{2} \end{gathered}[/tex]The slope of the line on the graph is m=3/2
