Question

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

Explanation:

Step1: Recall reflection over y - axis rule

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

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

For the point \(P=(-1,5)\), here \(x=-1\) and \(y = 5\). When we reflect over the \(y\) - axis, we change the sign of \(x\). So the new \(x\) - coordinate is \(-(-1)=1\), and the \(y\) - coordinate remains \(5\). So the coordinates of \(P'\) are \((1,5)\).

Answer:

\((1,5)\)