Question

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

Explanation:

Step1: Recall reflection over y - axis rule

When a point \((x,y)\) is reflected over the \(y\) - axis, the new point \((x',y')\) has coordinates \((-x,y)\). This is because the \(y\) - coordinate remains the same (the point stays at the same height) and the \(x\) - coordinate is negated (the point is mirrored across the vertical \(y\) - axis).

Step2: Apply the rule to point \(T(-6,-2)\)

For the point \(T(-6,-2)\), the \(x\) - coordinate is \(-6\) and the \(y\) - coordinate is \(-2\). When we reflect over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So, the new \(x\) - coordinate \(x'=-(-6) = 6\) and the \(y\) - coordinate \(y'=-2\) (remains the same).

Answer:

\((6, - 2)\)