SOLUTION: Please determine whether or not the following points are collinear or not (1,9),(7,3), and (10,0) (-2,-1),(5,5), ans (7,9)

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Question 244954: Please determine whether or not the following points are collinear or not
(1,9),(7,3), and (10,0)
(-2,-1),(5,5), ans (7,9)

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if the slopes (m), from the first point to each of the other two points, are equal; then the three points are colinear

(1,9),(7,3), and (10,0)
m1 = (3 - 9) / (7 - 1) = -1
m2 = (0 - 9) / (10 - 1) = -1
slopes are equal, so points are colinear

(-2,-1),(5,5), ans (7,9)
m1 = (5 - -1) / (5 - -2) = 6/7
m2 = (9 - -1) / (7 - -2) = 10/9
slopes are NOT equal, so points are NOT colinear