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?
a (-6 ,4)
b (-6, -4)
c (4, 6)
d (-4, 6)
To rotate a point (x, y) clockwise about the origin by 90 degrees, we can use the following formulas:
x' = y
y' = -x
Given the point (-4, -6), let's apply these formulas:
x' = -6
y' = -(-4) = 4
Therefore, the new point when the given point is rotated clockwise about the origin 90 degrees is (-6, 4).
Option a is the correct answer: (-6, 4).