Question

Rotate the point (-4, - 6) on a geometric figure 90 degrees counterclockwise. What is the new point? (1 point)
0 (-6, 4)
0 (-6, - 4)
0 (6,1)
0 (6, - 4)

Answer 1

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

\[
(x', y') = (-y, x)
\]

For the point \((-4, -6)\), we can plug in the values:

\[
x' = -(-6) = 6
\]
\[
y' = -4
\]

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

So, the correct answer is:

\((6, -4)\)