(7,-2) rotated 270 degrees clockwise around the origin

Answer 1

To rotate a point around the origin, we can use the rotation formulas. For a 270-degree clockwise rotation, the transformation of a point \((x, y)\) is given by the following equations:

\[ x' = y \] \[ y' = -x \]

Now, let's apply this to the point \((7, -2)\):

1. Set \(x = 7\) and \(y = -2\).
2. Substitute into the formulas:

\[ x' = y = -2 \] \[ y' = -x = -7 \]

So, the new coordinates after a 270-degree clockwise rotation around the origin are \((-2, -7)\).