Step 1: write out the formula for slope
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]Step2: Identify the point in the diagram
[tex]\begin{gathered} (-2,-4)\text{ and (2,2)} \\ x_1=-1,x_2=2,y_1=-4,y_2=2 \end{gathered}[/tex]Step3: Substitute the value into the given formula above
[tex]\begin{gathered} \text{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ =\text{ }\frac{2-(-4)}{2-(-2)} \\ =\frac{2+4}{2+2} \\ =\frac{6}{4} \end{gathered}[/tex][tex]\text{slope}=\frac{3}{2}[/tex]Hence the slope of the line is 3/2
