Question

question
point r is located at (-6, -2) on the coordinate plane. point r is reflected over the y - axis to create point r. what ordered pair describes the location of r?
answer attempt 1 out of 2
r ( , )

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 a point \(P=(x,y)\) is reflected over the \(y\) - axis, the image \(P'\) has coordinates \((-x,y)\).

Step2: Apply the rule to point \(R\)

Given that point \(R\) is located at \((-6,-2)\). Here, \(x = - 6\) and \(y=-2\). When we reflect this point over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-(-6)=6\), and the \(y\) - coordinate remains \(-2\). So the coordinates of \(R'\) are \((6,-2)\).

Answer:

\((6, - 2)\)