SOLUTION: Find the slope of any line parallel to the line through points (8, 6) and (7, 7).

Algebra ->  Graphs -> SOLUTION: Find the slope of any line parallel to the line through points (8, 6) and (7, 7).      Log On


   

Question 116435: Find the slope of any line parallel to the line through points (8, 6) and (7, 7).
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE SLOPE OF THIS LINE IS (Y2-Y1)/(X2-X1)
(7-6)/(7-8)
1/-1=-1 FOR THE SLOPE.
THUS THE LINE EQUATION THROUGH THESE POINTS IS:
6=-1*8+b
6=-8+b
b=6+8
b=14 OR
Y=-X+14 (RED LINE)
THEREFORE ANY LINE EQUATION WITH A SLOPE OF -1 IS A PARALLEL LINE.
Y=-X-4 IS ONE OF THEM. (GREEN LINE)
THIS LINE IS PARALLEL TO THE LINE THROUGH (8,6) & (7,7)
+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+15%2C+y+=+-x+%2B14%2C+y+=+-x+-4%29+ (graph 300x200 pixels, x from -6 to 15, y from -10 to 15, of TWO functions y = -x +14 and y = -x -4).