Question

question what is the image of the point (6, -1) after a rotation of 270° counterclockwise about the origin? answer attempt 1 out of 3

Explanation:

Step1: Recall rotation formula

For a 270 - counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Apply the rule

Given the point $(6,-1)$, where $x = 6$ and $y=-1$. After applying the rule $(x,y)\to(y, - x)$, we substitute $x = 6$ and $y=-1$ into the new - coordinate formula. The new $x$ - coordinate is $y=-1$ and the new $y$ - coordinate is $-x=-6$.

Answer:

$(-1,-6)$