Question

the point t(1, -6) is reflected over the y-axis. what are the coordinates of the resulting point, t?

Explanation:

Step1: Recall reflection over y - axis rule

When a point \((x,y)\) is reflected over the \(y\) - axis, the rule for the reflection is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(T(1, - 6)\)

For the point \(T(1,-6)\), where \(x = 1\) and \(y=-6\), applying the reflection rule over the \(y\) - axis, we substitute \(x\) with \(-x\). So \(x = 1\) becomes \(-x=-1\) and \(y\) remains \(-6\).

Answer:

The coordinates of the resulting point \(T'\) are \((-1,-6)\)