Math

Good answer, Solveit.......you are exactly correct....!!!!

A perpendicular line will have the negative reciprocal slope to 8/3   =  -3/8

So.....we have

y - 3 = -(3/8)(x - [-2] )

y = (-3/8)x -6/8 + 3

y = (-3/8)x + 18/8

y = (-3/8)x + 9/4

Here is the graph of both lines......https://www.desmos.com/calculator/btb92kqc5y

y-3=8/3(x+20)

y=8/3x+160/3+3   y=mx+b

our b is 169/3

mx is 8/3x slope is 8/3

formula of perpendicular is -1/m 

-1/8/3=-3/8 is the slope of perpendicular line 

we have:

m=-3/8

x=-2

y=3

let s put it into y=mx+b

3=-3/8(-2)+b   3=3/4+b  b is 9/4

equation:y=-3/8x+9/4

i am not sure :)