Answer:
[tex]-\frac{4}{5}[/tex]
Step-by-step 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
[tex]y=\frac{-4}{5}x + \frac{6}{5}[/tex]
we can conclude that the slope is
[tex]-\frac{4}{5}[/tex]
hope this helps :)
