First, we have to find the slope of the given line using the following formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's replace the points (-3,-3) and (0,-1).
[tex]m=\frac{-1-(-3)}{0-(-3)}=\frac{-1+3}{3}=\frac{2}{3}[/tex]
Then, we use the formula for perpendicular slopes to find the new perpendicular slope.
[tex]\begin{gathered} -\frac{2}{3}\cdot m=-1 \\ m=\frac{3}{2} \end{gathered}[/tex]
