Given:
The point is (-8,3).
To find:
The image of the given point after a rotation of 270 degrees counterclockwise about the origin.
Solution:
If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex](-8,3)\to (3,-(-8))[/tex]
[tex](-8,3)\to (3,8)[/tex]
Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).
