+0

0
66
5

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

Feb 17, 2020

#1
+219
+1

Hey...have you tried 5.5?

Feb 17, 2020
#2
+302
+2

How did you get that answer?

AnimalMaster  Feb 17, 2020
#3
+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
0

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
+24430
+2

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

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

Feb 17, 2020