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Answer :

Answer:

The image if the point is (-7, -9)

Step-by-step explanation:

  • If The point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
  • If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
  • If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

∵ The given point is (9, -7)

x = 9 and y = -7

∵ The given point is rotated 270° counterclockwise about the origin

→ By using the third rule above

∴ The image of the point is (y, -x)

→ That mean change the sign of x-coordinate, then switch them

∵ x = 9 and y = -7

The image if the point is (-7, -9)