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? (1 point)

Question

0 (1, 6)
О (-6, - 4)
0 (-4, 6)
O (-6,4)

Answer 1

To find the new point when a point is rotated clockwise about the origin by 90 degrees, you can use the following transformation:

If a point is given by coordinates \((x, y)\), then its coordinates after a clockwise rotation of 90 degrees about the origin will be \((y, -x)\).

For the point \((-4, -6)\):

1. Original point: \((-4, -6)\)
2. Apply the rotation formula: \[ (y, -x) = (-6, -(-4)) = (-6, 4) \]

So, the new point after the rotation is \((-6, 4)\).

Therefore, the answer is (-6, 4).