Question

what is the image of the point $(0,9)$ after a rotation of $90^{circ}$ counterclockwise about the origin?

Explanation:

Step1: Recall the rotation rule

The rule for a \(90^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(-y,x)\).

Step2: Apply the rule to the given point

For the point \((0,9)\), where \(x = 0\) and \(y=9\).
Substitute into the formula: \((0,9)\to(-9,0)\)

Answer:

\((-9,0)\)