Final answer:
To reflect a point (-8,-1) over the line y=-x, we can replace the x-coordinate with the negative value of the y-coordinate and the y-coordinate with the negative value of the x-coordinate. The image of (-8,-1) is (1,8) after the reflection.
Step-by-step explanation:
To reflect a point over the line y=-x, we can use the following steps:
1. Identify the coordinates of the point you want to reflect. In this case, the point is (-8,-1).
2. Replace the x-coordinate with the negative value of the y-coordinate and the y-coordinate with the negative value of the x-coordinate.
3. Applying this reflection, the image of (-8,-1) is (1,8).
So, the image of (-8,-1) after a reflection over the line y=-x is (1,8).