Answer:
k=9
Step-by-step explanation:
[tex]slope = \frac{y2 - y1 }{x2 - x1} \\ \frac{ - 5}{2} = \frac{ - 11 - k}{6 - ( - 2)} \\ - ( \frac{5}{2} ) = - ( \frac{11 + k}{8} ) \\ \frac{5}{2} = \frac{11 + k}{8} \\ 5 \times 8 = 2(11 + k) \\ 40 = 22 + 2k \\ k = \frac{40 - 22}{2} \\ k = 9[/tex]
