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Sagot :
Answer:
Explanation:
Here, we want to get the value of c given that the three points are collinear
When points are collinear, the slope between any two is same
Two or more points are called collinear if they lie on the same line
Mathematically, we have the expression of calculating the slope as:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]For the first 2, we have:
[tex]m\text{ = }\frac{-10-3}{-10-7}\text{ = }\frac{13}{17}[/tex]Now, to get the vale of c, we can use any of the points:
[tex]\begin{gathered} \frac{13}{17}\text{ = }\frac{3-2}{7-c} \\ \\ 13(7-c)\text{ = 17} \\ 91-13c\text{ = 17} \\ 13c\text{ = 91-17} \\ 13c\text{ = 74} \\ c\text{ = }\frac{74}{13} \end{gathered}[/tex]
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