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I need help with this very hard question that i do not understand at this moment and it is difficult for me to answer

I need help with this very hard question that i do not understand at this moment and-example-1

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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

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