Question

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

Explanation:

Step1: Recall the reflection rule

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

For the point \((5,8)\), substitute \(x = 5\) and \(y = 8\) into the rule.
We get \(-y=-8\) and \(-x = -5\).

Answer:

\((-8,-5)\)