Question

what is the image of the point (-1, -3) after a rotation of 90° counterclockwise about the origin? watch video show examples

Explanation:

Step1: Recall rotation formula

For a 90 - degree 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 $(-1,-3)$, where $x=-1$ and $y = - 3$. Substitute into the rule: $-y=-(-3)=3$ and $x=-1$. So the new point is $(3,-1)$.

Answer:

$(3,-1)$