Question

reflection over the line y = -x of the point (-2, -5)

Explanation:

Step1: Recall reflection formula

The formula for reflecting a point $(x,y)$ over the line $y = -x$ is $( -y,-x)$.

Step2: Substitute the given point

Given the point $(-2,-5)$, substituting $x=-2$ and $y = - 5$ into the formula, we get $(-(-5),-(-2))$.

Step3: Simplify the coordinates

$(-(-5),-(-2))=(5,2)$.

Answer:

$(5,2)$