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Find the value of c such that the three points (5,5), (3,1), and \((16,c)\)  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.

 Apr 15, 2022
 #1
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The slope of the line is 2. 

 

The point \((16,c)\) is 11 units away from \((5,5)\)

 

Because the slope is 2, the line goes up 22 from 5, meaning \(c = 5+22=\color{brown}\boxed{27}\)

 Apr 15, 2022

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