Question

question
what is the image of (9, -7) after a reflection over the y-axis?
answer attempt 1 out of 2
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Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \((x,y)\), after reflection over the \(y\) - axis, the new point is \((-x,y)\).

Step2: Apply the rule to the given point

We are given the point \((9,-7)\). Here, \(x = 9\) and \(y=-7\). Using the reflection rule over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(- 9\) and the \(y\) - coordinate remains \(-7\).

Answer:

\((-9,-7)\)