Question

graph the image of m(9, -7) after a rotation 180° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° clockwise around the origin, the new - point $(x',y')$ has coordinates $x'=-x$ and $y'=-y$.

Step2: Apply rule to point M

For point $M(9, - 7)$, where $x = 9$ and $y=-7$. Then $x'=-9$ and $y'=-(-7)=7$.

Answer:

The image of $M(9,-7)$ after a 180° clock - wise rotation around the origin is $M'(-9,7)$. To graph it, locate the point $(-9,7)$ on the coordinate plane, which is 9 units to the left of the y - axis and 7 units above the x - axis.