Question

question
point m is located at (5, -1) on the coordinate plane. point m is reflected over the y - axis to create point m. what ordered pair describes the location of m?
answer attempt 1 out of 2
m ( , )
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Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \(P=(x,y)\), its reflection \(P'\) over the \(y\) - axis is given by \(P'=(-x,y)\).

Step2: Apply the rule to point \(M=(5, - 1)\)

For the point \(M=(5,-1)\), when we reflect it over the \(y\) - axis, the \(x\) - coordinate \(x = 5\) will become \(-x=-5\) and the \(y\) - coordinate \(y=-1\) will remain the same. So the coordinates of \(M'\) are \((-5,-1)\).

Answer:

\((-5, - 1)\)