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Find the value of c such that the three points (5,5), (3,1), and (-6,c)  lie on the same line.

Note: Three points are on the same line if the slope of the line through any two points is always the same.

 Jul 3, 2021
 #1
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Slope, m, between the first two points     (y1-y2)/(x1-x2) = 4/2 = 2  

    slope between the next two points is also = 2       so      (1-c)/(3--6) = 2

                                                                                               1-c = 18

                                                                                                c = -17

 Jul 3, 2021

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