Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point) ()

Answer 1

To rotate a point \((x, y)\) 90 degrees counterclockwise around the origin, you can use the formula:

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

For the point \((-7, 4)\):

1. Substitute \(x = -7\) and \(y = 4\) into the formula:
   • \(x' = -y = -4\)
   • \(y' = x = -7\)

Thus, the new point after a 90-degree counterclockwise rotation is:

\[ \boxed{(-4, -7)} \]