Answer:

Explanation:
4x+5y=-6
the goal is to get y on one side and everything else on the other side
step 1 subtract 4x from each side
4x-4x cancels out
now we have
5y=-4x-6
step 2 divide each side by 5
5/5 cancels out
now we have

we can conclude that the slope is

hope this helps :)