Question

Rotate the point (-4, - 6) on a geometric figure 90 degrees counterclockwise. What is the new point? (1 point)
• (-6, 4)
• (6, - 4)
O (6, 4)
• （-6， -4）

Answer 1

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

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

For the point \((-4, -6)\):

1. Identify \(x = -4\) and \(y = -6\).
2. Apply the rotation formula:

\[
(-4, -6) \rightarrow (-(-6), -4) \rightarrow (6, -4)
\]

Therefore, the new point after a 90-degree counterclockwise rotation is \((6, -4)\).

The correct answer is:
- (6, -4)