Question

the point f(-4, -1) is rotated 270° counterclockwise around the origin. what are the coordinates of the resulting point, f?

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given the point $F(-4,-1)$, where $x=-4$ and $y = - 1$. After applying the rule, the new $x$ - coordinate is $y=-1$ and the new $y$ - coordinate is $-x=-(-4) = 4$.

Answer:

$(-1,4)$