Question

what is the image of (-2, -3) after a reflection over the line y = x? answer attempt 1 out of 2

Explanation:

Step1: <Reflection over \(y = x\) rule>

When reflecting a point \((a,b)\) over the line \(y=x\), the rule is \((a,b)\to(b,a)\).
Here \(a=-2\) and \(b = - 3\).

Step2: <Apply the rule>

Substitute \(a=-2\) and \(b=-3\) into the rule \((a,b)\to(b,a)\).
We get \((-2,-3)\to(-3,-2)\).

Answer:

\((-3,-2)\)