Answer:
the desired new equation is y = -3x - 5
Explanation:
The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7. Only the y-intercept will be different.
Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate. We get:
-8 = -3(1) + C, where C is the new y-intercept and is to be determined.
Then C = -5, and the desired new equation is y = -3x - 5.