Answer:
see below, thanks
Important concept to know:
If a line is perpendicular to another, the slope will be the opposite reciprocal of the other line's slope.
EX: y = 2x
perp line: y = -1/2x
Explanation:
y = 3x + 2; (1, -1)
> y = 1/3x +b
> -1 = 1/3(1) + b
> y = 1/3x - 4
y = -1/5x + 1; (3, -7)
> y = 5x + b
> -7 = 5(3) + b
> y = 5x - 22
8x + 3y = 7; (-4, -8)
> 3y = -8x + 7
> y = -8/3x + 7/3
> y = 3/8x + 7/3
> -8 = 3/8(-4) + b
> y = 3/8x + 253/8