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

(11,0)

Step-by-step 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

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

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: