Question

The point A (-5, -2) is reflected over the line y = -1, and then is reflected over the line x = 3. What are the coordinates of A

Answer 1

When A is reflected over y=-1, -1+(-1-(-2))=0, it lands on (-5, 0), when it is then reflected over x=3, 3+(3-(-5))=11, it lands on (11,0)
If you can't visualize it, draw a graph.

Answer 2

(11,0)

Explanation:

A is (-5,-2)

It is reflected over the line y=-1

The distance between the y value is -1-(-2)= 1

So we move 1 unit above the line y=-1

After reflection over the line y=-1 the A becomes (-5,1-1) is (-5,0)

It is reflected over the line x = 3

The distance between -5 and 3 is
`3-(-5)= 8`

So we move 8 units away from the line x=3

Point (-5,0) becomes (3+8,0) is (11,0)