Answer:
[tex]y = -\frac{5}{3}x -9[/tex]
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Since the slope of one line is 3/5, its perpendicular line will have the slope of -5/3.
Substitute m = -5/3 and (-3,-4) into the point slope form of a line.
[tex]y - y_1 = m(x-x_1)\\y - -4 = \frac{-5}{3}(x --3)\\y + 4 = -\frac{5}{3}(x +3)\\y + 4 = -\frac{5}{3}x -5 \\ y = -\frac{5}{3}x -9[/tex]
