Given a point (−7, 4)

Question

on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point)
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Answer 1

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

\[ (x, y) \rightarrow (-y, x) \]

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

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

Applying the transformation:

\[ (-7, 4) \rightarrow (-4, -7) \]

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