Question

the point q(5, -4) is reflected over the y-axis. what are the coordinates of the resulting point,

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 we have a point \((x,y)\), after reflection over the \(y\) - axis, the new point is \((-x,y)\).

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

For the point \(Q(5,-4)\), where \(x = 5\) and \(y=-4\). When we reflect it over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(- 5\) and the \(y\) - coordinate remains \(-4\). So the coordinates of the resulting point are \((-5,-4)\).

Answer:

\((-5,-4)\)