The vertices of a triangle are p(-7, -4), q(-7, -8), and r(3, -3). name the vertices of the image reflected across the line y=x. i need this explained cause i dont understand how to solve for it.

The answers are:
P ' = (-4,-7)
Q ' = (-8,-7)
R ' = (-3,3)



All you do is swap the x and y coordinates of the given points P, Q and R

The general rule is (x,y) ---> (y,x)

So that's why something like P = (-7,-4) becomes P ' = (-4,-7) when we reflect over the line y = x. The other points are handled the same way.