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:

\[ (-7, -5) \]