Question

point r is located at (4, -5) on the coordinate plane. point r is reflected over the y-axis to create poi what ordered pair describes the location of r? answer attempt 1 out of 2 r( , )

Explanation:

Step1: Recall reflection over y - axis rule

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

Step2: Apply the rule to point \(R(4,-5)\)

For the point \(R(4,-5)\), here \(x = 4\) and \(y=-5\). Using the reflection rule over the \(y\) - axis, the \(x\) - coordinate of the reflected point \(R'\) will be \(x'=-4\) and the \(y\) - coordinate will be \(y'=-5\) (since \(y\) - coordinate remains unchanged during reflection over \(y\) - axis).

Answer:

\((-4,-5)\)