Question

question
what is the image of (4, -7) after a reflection over the line y = x?
answer

Explanation:

Step1: Recall the reflection rule

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

Step2: Apply the rule

For the point \((4,-7)\), here \(x = 4\) and \(y=-7\). After applying the rule \((x,y)\to(y,x)\), we get \((-7,4)\).

Answer:

\((-7,4)\)