Question

find the image of (-9,-1) after a reflection across the line y = x.

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to the given point

For the point \((-9,-1)\), swap the \(x\) and \(y\) coordinates. So, \(x=-9\) and \(y = - 1\) become \(x=-1\) and \(y=-9\).

Answer:

\((-1,-9)\)