Question

question
what is the image of the point (1,3) after a rotation of 270° counterclockwise about the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(270^{\circ}\) counter - clockwise about the origin, the new coordinates \((x',y')\) follow the rule \((x,y)\to(y, - x)\).

Step2: Apply the rule to the given point

For the point \((1,3)\), here \(x = 1\) and \(y=3\).
Using the rule \((x,y)\to(y, - x)\), we substitute \(x = 1\) and \(y = 3\) into the formula.
We get \(x'=3\) and \(y'=-1\).

Answer:

\((3,-1)\)