Anyone know the answer to this??

Explanation:

Use the slope formula to find the slope of the given line through those two points (-3, 4) and (5, 1)

m = (y2-y1)/(x2-x1)

m = (1 - 4)/(5 - (-3) )

m = (1-4)/(5+3)

m = -3/8

The line shown has a slope of -3/8

We do two things from here:

That will have -3/8 turn into +8/3 or simply 8/3 which is the perpendicular slope. That's why the answer is choice A.

Multiplying the original slope -3/8 with the perpendicular slope 8/3 will lead to -1. This is true of any perpendicular pair of lines, as long as neither line is vertical.

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Step-by-step explanation: