Question

what is the image of the point (0, 9) after a rotation of 90° counterclockwise about the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall the rotation formula

For a point \((x,y)\) rotated \(90^{\circ}\) counter - clockwise about the origin, the new coordinates \((x',y')\) are given by the formula \(x'=-y\) and \(y' = x\).

Step2: Substitute the values

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

Answer:

The image of the point \((0,9)\) after a \(90^{\circ}\) counter - clockwise rotation about the origin is \((-9,0)\)