Ok, first of all, let's put the equation of the line in the slope-intercept form:
-8x+y=8
y=8x+8
The slope of this line is m=8.
The slope of a perpendicular line is the negative reciprocal of the slope of the first line, so:
m2=-1/8
Now let's calculate the equation of the perpendicular linbe, using the given point, (2,2):
y-y1=m*(x-x1)
y-2 = -1/8(x-2)
y-2=-1/8x + 2/8
y=-1/8x +2/8 +16/8
y=-1/8x + 18/8
y= -1/8x + 9/4
The equation will be y= -1/8x + 9/4
