Question

what is the image of the point (-9, -1) after a rotation of 270° counterclockwise about the origin? answer attempt 1 out of 3 (□,□) submit answer

Explanation:

Step1: Recall rotation rule

For a \(270^\circ\) counterclockwise rotation about the origin, the rule is \((x,y)\to(y, -x)\).

Step2: Apply the rule to \((-9,-1)\)

Here, \(x = - 9\) and \(y=-1\). Substituting into the rule, we get the new \(x\)-coordinate as \(y=-1\) and the new \(y\)-coordinate as \(-x=-(-9) = 9\).

Answer:

\((-1,9)\)