Question

graph the image of m(-6, -10) 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 the rule to point M

Given $M(-6,-10)$, substituting $x = - 6$ and $y=-10$ into the rule, we get $(-(-6),-(-10))$.

Step3: Simplify the coordinates

$-(-6)=6$ and $-(-10) = 10$, so the image of $M$ is $(6,10)$.

Answer:

The image of point $M(-6,-10)$ after a 180 - degree clockwise rotation around the origin is $(6,10)$. To graph it, locate the point $(6,10)$ on the coordinate - plane (6 units to the right of the y - axis and 10 units above the x - axis).