Question

Rotate the point (−4, −6) on a geometric figure 90 degrees counterclockwise. What is the new point?(1 point) Responses (6, 4) left parenthesis 6 comma 4 right parenthesis (6, −4) left parenthesis 6 comma negative 4 right parenthesis (−6, −4) left parenthesis negative 6 comma negative 4 right parenthesis (−6, 4)

Answer 1

To rotate a point (x, y) 90 degrees counterclockwise around the origin, you can use the formula:

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

Given the point (-4, -6):

1. Replace x with -6:
   • New x-coordinate = -(-6) = 6
2. Replace y with -4:
   • New y-coordinate = -4

Thus, the new point after rotating (-4, -6) 90 degrees counterclockwise is (6, -4).

So the correct response is (6, −4).