Question

question
what is the image of $(-3,-7)$ after a reflection over the $x$-axis?
answer

Explanation:

Step1: Recall the reflection rule over the x - axis

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

Step2: Apply the rule to the given point

For the point \((-3,-7)\), here \(x=-3\) and \(y = - 7\). Using the rule \((x,y)\to(x,-y)\), we substitute \(y=-7\) into \(-y\). So \(-y=-(-7) = 7\).

Answer:

\((-3,7)\)