What os the slope of a line that is perpendicular to the line shown

Perpendicular lines have slopes that are negative reciprocals.

so first you must find the slope of the line given
the slope formula is 

m=(y₂-y₁)/(x₂-x₁)

now you just plug in the coordinate points that you are given

m=(-2-2)/(0-(-3)
m=-4/3

so the slope of the line given is -4/3, the negative reciprocal of this would be 3/4

The slope of the perpendicular line would be 3/4