Question

If you reflect the segment with endpoints (3,2) and (-4, 3) across the line y=-X,

Answer 1

Greetings from Brasil...

Here is the graphical explanation in the annex.

A = (-4; 3)

B = (3; 2)

(segment BLUE)

After reflection on F(X) we will get the segment GREEN

note that the length M = M and N = N

A' = (-3; 4)  

B' = (-2; -3)