Question

what is the image of (-7, -2) after a reflection over the y - axis?

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to the point \((-7,-2)\)

For the point \((-7,-2)\), where \(x = - 7\) and \(y=-2\). Using the reflection rule over the \(y\) - axis, we substitute \(x=-7\) into \(-x\). So, \(-x=-(-7) = 7\) and \(y\) remains \(-2\). So the image of \((-7,-2)\) after reflection over the \(y\) - axis is \((7,-2)\).

Answer:

\((7, - 2)\)