Question

given a point on a line segment (-4, -6), what is the new point when the point is rotated clockwise about the origin 90 degrees

Answer 1

To rotate a point \((x, y)\) clockwise about the origin by 90 degrees, you can use the following transformation:

\[
(x, y) \rightarrow (y, -x)
\]

Given the point \((-4, -6)\), we can apply the transformation:

- The \(x\) coordinate is \(-4\).
- The \(y\) coordinate is \(-6\).

After applying the transformation:

\[
(-4, -6) \rightarrow (-6, 4)
\]

Therefore, the new point after rotating \((-4, -6)\) 90 degrees clockwise about the origin is \((-6, 4)\).