Answer:
y = -(5/3)x -(23/3)
Step-by-step explanation:
Rewrite the given equation is standard slope-intercept format: y = mx + b
5x + 3y = 8
3y = -5x + 8
y = -(5/3)x + (8/3)
A parallel line will have the same slope: -(5/3)
y = -(5/3)x + b
We need to find a b that will force the line through point (-1,-6).
y = -(5/3)x + b
-6 = -(5/3)*(-1) + b
-6 - (5/3) = b
b = -(23/3)
y = -(5/3)x -(23/3)
