Question

if the point N (-5,7) is rotated 90 degree counterclockwise, what would be its new coordinates?

Answer 1

To rotate a point \((x, y)\) counterclockwise by 90 degrees, the new coordinates can be calculated using the formula:

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

For the point \(N (-5, 7)\):

1. Original coordinates: \(x = -5\) and \(y = 7\).
2. Apply the formula:

\[
x' = -y = -7
\]
\[
y' = x = -5
\]

Therefore, the new coordinates after rotating the point \(N (-5, 7)\) 90 degrees counterclockwise are:

\[
(-7, -5)
\]