Question

what is the image of (5,8) after a reflection over the line y = -x?

Explanation:

Step1: Recall the reflection rule over \(y = -x\)

When reflecting a point \((x,y)\) over the line \(y=-x\), the transformation rule is \((x,y)\to(-y, -x)\).

Step2: Apply the rule to the given point \((5,8)\)

Here \(x = 5\) and \(y=8\). Substitute into the rule: \(-y=-8\) and \(-x = -5\).

Answer:

\((-8,-5)\)