Question

the point h(-5, -1) is reflected over the x-axis. what are the coordinates of the resulting point, h?

Explanation:

Step1: Recall the reflection rule over x - axis

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

Step2: Apply the rule to the point \(H(-5,-1)\)

For the point \(H(-5,-1)\), where \(x=-5\) and \(y = - 1\). After reflection over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. So, \(y=-(-1)=1\).

Answer:

\((-5,1)\)