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Given a point (−6, 4)

in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?(1 point)
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1 answer

To find the new coordinates of the point \((-6, 4)\) when it is rotated counterclockwise 180 degrees about the origin, you can use the rule for rotation by 180 degrees. The rule states that when a point \((x, y)\) is rotated 180 degrees about the origin, the new coordinates become \((-x, -y)\).

For the point \((-6, 4)\):

  • The new x-coordinate is \(-(-6) = 6\)
  • The new y-coordinate is \(-4\)

Putting these together, the new point after the rotation is \((6, -4)\).

So the new point is:

\[ (6, -4) \]