First pick two points from the graph that you are 100% sure that are on the line.
For example: (0,8) and (3, -9)
Then using those two to find the slope of the line on the graph
Slope (m) formula:
m= (y2-y1) / (x2-x1)
From the first point:
x1=0, y1=8
For the second point:
x2=3 and y2 = -9
plug those in:
m= (-9-8) / (3-0)
m= -17 / 3
let that be m1= -17/3
And then, in order to find the slope to a line perpendicular to this one, we need to know the relation between their slopes which is negative reciprocals:
m2= -1/ m1
So, the final answer:
m2= -1 / (-17/3)
m2= 3/17