Question

graph the image of ( p(8, -9) ) after a rotation ( 180^{circ} ) clockwise around the origin.

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) clockwise around the origin, the new coordinates \((x',y')\) are given by the rule \((x',y')=(-x,-y)\).

Step2: Apply the rule to the point \(P(8, - 9)\)

For \(x = 8\) and \(y=-9\), we have \(x'=-8\) and \(y' = 9\).

Answer:

The image of the point \(P(8,-9)\) after a \(180^{\circ}\) clockwise rotation around the origin is \(P'(-8,9)\).