Question

the point e(3, -5) is reflected over the y-axis. what are the coordinates of the resulting point, e?

Explanation:

Step1: Recall the rule for reflection over the y - axis

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

Step2: Apply the rule to the given point

For the point \(E(3,-5)\), here \(x = 3\) and \(y=-5\). Using the rule \((x,y)\to(-x,y)\), we substitute \(x = 3\) into \(-x\). So \(-x=-3\) and \(y\) remains \(-5\).

Answer:

The coordinates of the resulting point \(E'\) are \((-3,-5)\)