Question

rotate the point (-7, 4) 270 degrees clockwise.
What are the coordinates of the new point?

Answer 1

To rotate a point 270 degrees clockwise, we can use the following formula:
(new x-coordinate) = (old x-coordinate) * cos(270) - (old y-coordinate) * sin(270)
(new y-coordinate) = (old x-coordinate) * sin(270) + (old y-coordinate) * cos(270)

Plugging in the values:
(new x-coordinate) = (-7) * cos(270) - (4) * sin(270)
= (-7) * 0 - (4) * (-1)
= 0 + 4
= 4

(new y-coordinate) = (-7) * sin(270) + (4) * cos(270)
= (-7) * (-1) + (4) * 0
= 7 + 0
= 7

Therefore, the new coordinates of the point are (4, 7).