The equation of the line is:
[tex]y=\frac{2}{3}x-5[/tex]Explanation:The equation is in the form:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope.
[tex]\begin{gathered} m=\frac{-6-(-4)}{0-3} \\ \\ =\frac{-6+4}{-3}=\frac{2}{3} \end{gathered}[/tex]So, the equation is:
[tex]\begin{gathered} y-(-4)=\frac{2}{3}(x-3) \\ \\ y+3=\frac{2}{3}x-2 \\ \\ y=\frac{2}{3}x-2-3 \\ \\ y=\frac{2}{3}x-5 \end{gathered}[/tex]