Final answer:
The equation of the line that passes through the point (8,-8) and has a slope of -1 is y = -x.
Step-by-step explanation:
The equation of the line that passes through the point (8,-8) and has a slope of -1 can be found using the point-slope form: y - y1 = m(x - x1).
Using the given point (8,-8) and slope -1, the equation becomes y - (-8) = -1(x - 8).
Simplifying the equation, we have y + 8 = -x + 8. Rearranging the terms gives us the final equation: y = -x.