# How do you write the equation of a line in point slope form that is parallel to y= -1x+2 and goes through (8,-7)?

The solution is $y = - x + 1$.
Since the line searched is parallel to $y = - x + 1$ it must have the same slope than this one, that is, the same quoeficient in x, so it must be of the form $y = - x + b$, being b an unknown number.
Now, because the line searched goes through the point (8,-7), being "8" the coordinate "x" and "-7" the coordinate "y", its equation must satisfy $- 7 = - 8 + b$ and immediately you obtain that $b = 1$, so the equation of the line searched is $y = - x + 1$.