Question

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

Step1: Recall reflection over x - axis rule

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

Step2: Apply the rule to the given point

For the point \((-7,-9)\), the \(x\) - coordinate is \(-7\) and the \(y\) - coordinate is \(-9\). Using the reflection rule over the \(x\) - axis, the new \(x\) - coordinate will still be \(-7\), and the new \(y\) - coordinate will be \(-(-9)=9\).

Answer:

\((-7,9)\)