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 use the transformation:

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

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

1. \(x = -7\)
2. \(y = 4\)

Now applying the transformation:

\[ x' = -y = -4 \] \[ y' = x = -7 \]

Therefore, the new point after rotating \((-7, 4)\) 90 degrees counterclockwise is:

\[ (-4, -7) \]

So the answer is \((-4, -7)\).