Question

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

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 formula for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(S(6,4)\)

For the point \(S(6,4)\), where \(x = 6\) and \(y = 4\), after reflecting over the \(x\) - axis, the \(x\) - coordinate is still \(6\) and the \(y\) - coordinate becomes \(- 4\). So the resulting point \(S'\) has coordinates \((6,-4)\).

Answer:

\((6, - 4)\)