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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 24, 2021
 #1
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Slope =   ( 1 - 5)   / ( 3 - 5)  =  -4 /  -2   = 2

 

So

 

(c - 1)  /  ( 6 - 3)    =   2

 

(c  -1)  / 3     =   2

 

c - 1   = 3 * 2

 

c - 1     =   6

 

c  = 6 + 1  =  7

 

 

cool cool cool

 Jun 24, 2021

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