ANSWER:
-17
Given the coordinates: (3, k) and (1, 3)
Slope = 7/2
To find the missing coordinate, k, use the slope formula below:
[tex]m\text{ = }\frac{y2-y1}{x2-x1}[/tex]Where,
(x1, y1) = (-3, k)
(x2, y2) = (1, 3)
m = 7/2
Substitute the figures into the slope equation:
[tex]\frac{7}{2}=\text{ }\frac{3-k}{1-(-3)}[/tex]Cross multiply:
[tex]\begin{gathered} 2(3-k)\text{ = 7(1+3)} \\ \\ 6\text{ - 2k = 7 + 21} \\ \\ -2k\text{ = 7 + 21 + 6} \\ \\ -2k\text{ = }34 \\ \\ k\text{ = }\frac{34}{-2} \\ \\ k\text{ = }-17 \end{gathered}[/tex]Therefore, the missing coordinate, k is -17
