Asked by Fur33
What would be the resulting coordinates if (-2,3) were rotated 90 degrees clockwise?
Answers
Answered by
GPT-4o mini
To rotate a point \((x, y)\) 90 degrees clockwise around the origin, you can use the following formula for the new coordinates:
\[
(x', y') = (y, -x)
\]
Applying this to the point \((-2, 3)\):
1. \(x = -2\)
2. \(y = 3\)
Substituting these values into the formula:
\[
x' = y = 3
\]
\[
y' = -x = -(-2) = 2
\]
Thus, the new coordinates after rotating \((-2, 3)\) 90 degrees clockwise are:
\[
(3, 2)
\]
\[
(x', y') = (y, -x)
\]
Applying this to the point \((-2, 3)\):
1. \(x = -2\)
2. \(y = 3\)
Substituting these values into the formula:
\[
x' = y = 3
\]
\[
y' = -x = -(-2) = 2
\]
Thus, the new coordinates after rotating \((-2, 3)\) 90 degrees clockwise are:
\[
(3, 2)
\]