m of perpendicular line = [tex] \frac{1-(-3)}{0-3}= \frac{4}{-3} = \frac{-4}{3} [/tex]
m of line = [tex] \frac{3}{4} [/tex]
equation of line: [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-7)=\frac{3}{4}(x-4)[/tex]
[tex]y+7=\frac{3}{4}x-3[/tex]
[tex]y=\frac{3}{4}x-3-7[/tex]
[tex]\boxed{y=\frac{3}{4}x-10}[/tex]