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)?

1 Answer
Jose Luis F.
May 9, 2015

The solution is y=−x+1.

The reason is the following:
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.

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