Question

In the graph below line k,y=-x makes a 45 degree angle with the x and y axescomplete the following

Answer 1

step 1

The equation of line k is y=-x

The rule of the reflection across the line y=-x is equal to

(x,y) -------> (-y,-x)

so

we have the point (2,5)

Apply the rule

(2,5) -----> (-5,-2)

step 2

Reflection across the x axis

The rule of the reflection across the x axis is

(x,y) ------> (x,-y)

so

Apply the rule to the point (-5,-2)

(-5,-2) ------> (-5,2)

therefore

the answer is

(-5,2)