Question

graph the image of m(-6, -10) after a rotation 180° clockwise around the origin.

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\) rotated \(180^\circ\) clockwise (or counterclockwise) around the origin, the rule is \((x, y)\to(-x, -y)\).

Step2: Apply the rule to \(M(-6, -10)\)

Here, \(x = -6\) and \(y = -10\). So, \(-x=-(-6)=6\) and \(-y=-(-10)=10\). Thus, the image of \(M(-6, -10)\) after \(180^\circ\) rotation is \((6, 10)\).

Answer:

The image of \(M(-6, -10)\) after a \(180^\circ\) clockwise rotation around the origin is the point \((6, 10)\).