Question

what are the coordinates of point c if c(-4, -2) is rotated 270° counter-clockwise around the origin. (1 point) c = \square

Explanation:

Step1: Recall rotation rule

The rule for rotating a point \((x, y)\) \(270^\circ\) counter - clockwise about the origin is \((x,y)\to(y, - x)\).

Step2: Apply the rule to point \(C(-4,-2)\)

For the point \(C(-4,-2)\), here \(x=-4\) and \(y = - 2\).
Using the rule \((x,y)\to(y, - x)\), we substitute \(x=-4\) and \(y=-2\) into the rule.
The new \(x\) - coordinate (of \(C'\)) is \(y=-2\), and the new \(y\) - coordinate (of \(C'\)) is \(-x=-(-4) = 4\).

Answer:

\((-2,4)\)