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)
The new point is (6, -4).
To find the new point when a given point is rotated clockwise about the origin 90 degrees, you can use the following steps:
1. Identify the coordinates of the given point, which are (-4, -6).
2. Apply the clockwise rotation formula for a point (x, y) by 90 degrees:
- The x-coordinate of the new point, x', can be found by calculating y.
- The y-coordinate of the new point, y', can be found by calculating -x.
3. Substitute the values from the given point into the formulas to find the new coordinates.
- To find x', substitute x = -4 and y = -6 into the formula: x' = y = -6.
- To find y', substitute x = -4 and y = -6 into the formula: y' = -(-4) = 4.
4. The new point after rotating the original point clockwise about the origin by 90 degrees is (x', y') = (-6, 4).
Therefore, the new point when the point (-4, -6) is rotated clockwise about the origin 90 degrees is (-6, 4).