Question

the point s(4, 5) is reflected over the y - axis. what are the coordinates of the resulting point, s?

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to point \(S(4,5)\)

For the point \(S(4,5)\), where \(x = 4\) and \(y=5\), after reflection over the \(y\) - axis, the new \(x\) - coordinate is \(- 4\) and the \(y\) - coordinate remains \(5\). So the coordinates of the resulting point \(S'\) are \((-4,5)\).

Answer:

\((-4,5)\)