Question

point $p(-3, - 4)$ is rotated $90^{circ}$ counterclockwise about the origin. what are the coordinates of its image after this transformation? enter your answer by filling in the boxes. $p(square,square)$

Explanation:

Step1: Recall rotation rule

When a point $(x,y)$ is rotated $90^{\circ}$ counter - clockwise about the origin, the transformation rule is $(x,y)\to(-y,x)$.

Step2: Apply the rule

For the point $P(-3,-4)$, where $x = - 3$ and $y=-4$. Substitute into the rule: $-y=-(-4) = 4$ and $x=-3$.

Answer:

$P'(4,-3)$