Answer:
(-5, -3)
Step-by-step explanation:
To find the image of the point (-3, 5) after a 90° counterclockwise rotation about the origin, we can use the rotation formula:
[tex] (x', y') \longrightarrow (-y, x) [/tex]
Here, (x, y) is the original point, and (x', y') is the rotated point.
For the given point (-3, 5), apply the formula:
[tex] (x', y') \longrightarrow (-5, -3) [/tex]
So, the image of the point (-3, 5) after a 90° counterclockwise rotation about the origin is (-5, -3).
