Question

question what is the image of $(0, - 8)$ after a reflection over the line $y = x$? answer

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

For the point \((0,-8)\), here \(x = 0\) and \(y=-8\). Using the rule \((x,y)\to(y,x)\), we substitute \(x\) and \(y\) values. So the image point is \((-8,0)\).

Answer:

\((-8,0)\)