First find the coordinates of the points
(-3, -1) and (3, 3)
The formula for calculating slope is;
[tex]\text{slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]From the coordinates;
x₁ = -3
y₁=-1
x₂=3
y₂=3
substitute the values into the formula
[tex]\text{slope =}\frac{3+1}{3+3}[/tex][tex]=\frac{4}{6}[/tex][tex]=\frac{2}{3}[/tex]