Question

if ( p = (8,2) ), find the image of ( p ) under the following rotation.
( 270^{circ} ) counterclockwise about the origin
( (2, square) )
enter the number that belongs in the green box.

Explanation:

Step1: Recall rotation rule

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(y, - x)\).

Step2: Apply the rule

Given \(P=(8,2)\), here \(x = 8\) and \(y = 2\).
Using the rule \((x,y)\to(y,-x)\), we substitute \(x = 8\) and \(y = 2\) into the formula.
We get the image point \((2,-8)\).

Answer:

\(-8\)