Question
What is (-1, 4) rotated 90 degrees counterclockwise
Answers
GPT-4o mini
To rotate a point \( (x, y) \) counterclockwise by 90 degrees around the origin, you can use the transformation:
\[
(x, y) \rightarrow (-y, x)
\]
For the point \( (-1, 4) \), we can substitute \( x = -1 \) and \( y = 4 \) into the transformation:
\[
(-1, 4) \rightarrow (-4, -1)
\]
So, the point \( (-1, 4) \) rotated 90 degrees counterclockwise is \( (-4, -1) \).
\[
(x, y) \rightarrow (-y, x)
\]
For the point \( (-1, 4) \), we can substitute \( x = -1 \) and \( y = 4 \) into the transformation:
\[
(-1, 4) \rightarrow (-4, -1)
\]
So, the point \( (-1, 4) \) rotated 90 degrees counterclockwise is \( (-4, -1) \).