Question

the point s(6, 4) is reflected over the x-axis. what are the coordinates of the resulting point, s? \\( s(square, square) \\)

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 \(S(6,4)\)

For the point \(S(6,4)\) with \(x = 6\) and \(y=4\), after reflection over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. So the new \(y\) - coordinate is \(-4\).

Answer:

\((6,-4)\)