For what value of c are the three points (-3,1), (5,5), and (6,c) on the same line?
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.
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.
For what value of c are the three points (-3,1), (5,5), and (6,c) on the same line?
\(\begin{array}{|rcll|} \hline \dfrac{c-5}{6-5} &=& \dfrac{5-1}{5-(-3)} \\\\ c-5 &=& \dfrac{4}{8} \\\\ c-5 &=& \dfrac{1}{2} \\\\ c &=& 5+ \dfrac{1}{2} \\\\ \mathbf{c} &=& \mathbf{5.5} \\ \hline \end{array}\)