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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.

 Jun 29, 2020
 #1
avatar+26735 
+1

slope =   (y1-y2)/(x1-x2)

 

Between the first and second points   slope = ( 5-1)/(5- -3) = 1/2

 

Between 2nd and third point       1-c  /  -3-6 = 1/2 

                                                     1-c  / -9    = 1/2

                                                          c = 11/2

 

 

CHECK:  Between 3rd and first, slope =   11/2 - 5    /   6-5    = 1/2 ?

 Jun 29, 2020

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