Question

graph the image of p(8, -9) after a rotation 180° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree clockwise rotation around the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point P

For point $P(8, - 9)$, when we apply the rule, $x = 8$ and $y=-9$. So the new $x$ - coordinate is $-8$ and the new $y$ - coordinate is $9$. The new point is $(-8,9)$.

Answer:

The image of point $P(8, - 9)$ after a 180 - degree clockwise rotation around the origin is $(-8,9)$. To graph it, locate the point $(-8,9)$ on the coordinate - plane, which is 8 units to the left of the $y$ - axis and 9 units above the $x$ - axis.