Question

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

Explanation:

Step1: Reflect over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
For point \(M(-5,1)\), after reflection over the \(y\) - axis, \(M'=(5,1)\).

Step2: Reflect over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).
For point \(M'(5,1)\), after reflection over the \(x\) - axis, \(M''=(5,-1)\).

Answer:

\((5,-1)\)