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For what value of c are the three points (-3,1), (5,5), and (6,c) on the same line?

 Feb 17, 2020
 #1
avatar+219 
+1

Hey...have you tried 5.5?

 Feb 17, 2020
 #2
avatar+302 
+2

How did you get that answer?

AnimalMaster  Feb 17, 2020
 #3
avatar+302 
+1

Actually, I think Hypotenuisance is correct.

 

I plot out the coordinates: https://www.desmos.com/calculator/sbzvxqifsw and it makes a line. Forgot how to calculate though.

 Feb 17, 2020
 #4
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Welll one thing to notice is that you are given two points and from that you can calcualate the slope of the line.

 

Also the slope of a line is constant.

 Feb 17, 2020
 #5
avatar+24430 
+2

For what value of c are the three points (-3,1), (5,5), and (6,c) on the same line?

 

\(\begin{array}{|rcll|} \hline \dfrac{c-5}{6-5} &=& \dfrac{5-1}{5-(-3)} \\\\ c-5 &=& \dfrac{4}{8} \\\\ c-5 &=& \dfrac{1}{2} \\\\ c &=& 5+ \dfrac{1}{2} \\\\ \mathbf{c} &=& \mathbf{5.5} \\ \hline \end{array}\)

 

laugh

 Feb 17, 2020

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