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Question 319897: Show that the points A=(2,5), B=(6,1), C=(8,-1) lie on a line by using slopes.
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! To do this, you will need to find the slope 3 times.
You need the slope from A to B, from B to C and from A to C. If they all share the same slope, then all 3 points lie on the same line.
Slope from A to B = (1-5)/6-2) = -4/4 or -1.
Slope from B to C = (-1-1)/(8-6) = -2/2 or -1.
Slope from A to C = (-1-5)/(8-2) = -6/6 = -1.
They all share slope -1 and so they all lie on the same line.
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