Question

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

Answer 1

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