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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.

 Jan 26, 2021
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Find the slope of (5,5) and (3,1). That is equal to rise/run = -4/-2 = 2.

 

y = 2x + c

 

Plugin the information given: 5 = 2(5) + c

Solve: 5 = 10 + c -> c = -5

 

Equation: y=2x-5

 

Plugin the information: y = 2(-6)  - 5

Solve: y = -12  - 5 -> y = -17

 

C = 17

 

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 Jan 27, 2021

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