Question

1. find the image of the point (-2,6) under a reflection in the line y = x.

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule to the given point

For the point \((-2,6)\), swap the \(x\) - coordinate and \(y\) - coordinate. So, \(a=-2\) and \(b = 6\), and the image is \((6,-2)\).

Answer:

\((6,-2)\)