Question

#3 please What’s the answer & how do u do it

Answer 1

Answer:

The desired equation is y = (4/3)x - 14/3.

Step-by-step explanation:

This new line passes thru (-4, 8) and (0, 5).

As we move from (-4, 8) to (0, 5), x increases by 4 and y decreases by 3.

Thus, the slope of this line is m = rise / run = -3/4.

Thus, the slope of a line perpendicular to the given line is the negative reciprocal of -3/4:  4/3.

Thus, the equation of a line perpendicular to the given line is

y = (4/3)x + b.

This line passes thru the point (5, 2).  Thus, the following is true:

2 = (4/3)(5) + b, or 2 = 20/3 + b

Mult. this 2 by 3/3, we get 6/3, so that 6/3 = 20/3 + b.  b = -14/3.

The desired equation is y = (4/3)x - 14/3.