Question

graph the image of v(-5, -1) after a rotation 270° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 270° counter - clockwise rotation around the origin is $(x,y)\to(y, - x)$.

Step2: Apply the rule to point V

Given point $V(-5,-1)$, substituting $x=-5$ and $y = - 1$ into the rule, we get $(-1,-(-5))$.

Step3: Simplify the coordinates

$-(-5)=5$, so the new coordinates are $(-1,5)$.

Answer:

The image of point $V(-5,-1)$ after a 270° counter - clockwise rotation around the origin is $(-1,5)$.