Question

the point w(-8, 1) is reflected over the x - axis. what are the coordinates of the resulting point, w?

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. The rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(W(-8,1)\)

For the point \(W(-8,1)\), the \(x\) - coordinate \(x=-8\) and the \(y\) - coordinate \(y = 1\). After reflection over the \(x\) - axis, the new \(x\) - coordinate is still \(-8\) and the new \(y\) - coordinate is \(-1\) (since we change the sign of \(y\)). So the coordinates of \(W'\) are \((-8,-1)\).

Answer:

\((-8,-1)\)