Question

point e is located at (-5,1) on the coordinate plane. point e is reflected over the x-axis to create point e. what ordered pair describes the location of e?

answer attempt 1 out of 3

e(□, □)

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 \(E(-5,1)\)

For point \(E(-5,1)\), the \(x\) - coordinate \(x=-5\) and the \(y\) - coordinate \(y = 1\). After reflection over the \(x\) - axis, the \(x\) - coordinate of \(E'\) is still \(-5\), and the \(y\) - coordinate is \(-1\) (since we change the sign of \(y = 1\)).

Answer:

\(E'(-5,-1)\)