Question
Rote the point (-4, -6) on a geometric figure 90 degrees counterclockeise
Answers
GPT-4o mini
To rotate the point \((-4, -6)\) 90 degrees counterclockwise around the origin, you can use the following rotation formula:
\[
(x', y') = (-y, x)
\]
Where \((x, y)\) is the original point, and \((x', y')\) is the new point after rotation.
1. Take the original coordinates: \((-4, -6)\).
2. Apply the formula:
\[
x' = -y = -(-6) = 6
\]
\[
y' = x = -4
\]
So, the new coordinates after rotating \((-4, -6)\) 90 degrees counterclockwise are:
\[
(6, -4)
\]
\[
(x', y') = (-y, x)
\]
Where \((x, y)\) is the original point, and \((x', y')\) is the new point after rotation.
1. Take the original coordinates: \((-4, -6)\).
2. Apply the formula:
\[
x' = -y = -(-6) = 6
\]
\[
y' = x = -4
\]
So, the new coordinates after rotating \((-4, -6)\) 90 degrees counterclockwise are:
\[
(6, -4)
\]