Answer:
[tex]m=\frac{3}{4}[/tex]
Step-by-step explanation:
We can use the slope formula in order to find the slope of the line
[tex]m=\frac{-2-2}{0-(-3)} \\m=\frac{-4}{3}[/tex]
For a line to be perpendicular, it must have a slope that is the negative reciprocal, so that means that we swap the numerator and denominator and then multiply it by -1, this means that
[tex]m=\frac{-4}{3}\\\\m=\frac{3}{-4} \\\\m=\frac{-3}{-4} \\\\m=\frac{3}{4}[/tex]
