Answer:
k =1
Step-by-step explanation:
3x + y = -7
y = -3x - 7
m = -3
Parallel lines have same slope
[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]
Cross multiply,
9 = -3(-2-k)
9 = 6 + 3k
9-6 = 3k
3 = 3k
3/3 = k
k = 1