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 negative 6 comma negative 4 right parenthesis (6, 4) left parenthesis 6 comma 4 right parenthesis (−6, 4) left parenthesis negative 6 comma 4 right parenthesis (6, −4)

Answer 1

To rotate the point \((-4, -6)\) by 90 degrees counterclockwise, you can use the rotation formula for a point \((x, y)\):

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

Applying this to the point \((-4, -6)\):

1. Set \(x = -4\) and \(y = -6\).
2. Calculate the new coordinates:
- The new x-coordinate becomes \(-(-6) = 6\).
- The new y-coordinate becomes \(-4\).

Thus, the new point after the rotation is:

\[
(6, -4)
\]

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