Question

the point b(-1, -5) is rotated 90° counterclockwise around the origin. what are the coordinates of the resulting point, b?

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90° counter - clockwise around the origin is $(x,y)\to(-y,x)$.

Step2: Apply the rule to point B

Given point $B(-1,-5)$, where $x = - 1$ and $y=-5$. Substitute into the rule: $(-y,x)=-(-5),-1 = (5,-1)$.

Answer:

$(5,-1)$