Answer:
y = (-4/3)(x -4) -2
Step-by-step explanation:
The slope of the radius to point D is ...
m = (change in y)/(change in x) = (1-(-2))/(8-4) = 3/4
The slope of the perpendicular line will be the negative reciprocal of this:
m' = -1/m = -1/(3/4) = -4/3
The point-slope form of the equation for a line with slope m through point (h, k) can be written as ...
y = m(x -h) +k
We want a line with slope m' through point C:
y = (-4/3)(x -4) -2
