Answer:
[tex]-\frac{4}{5}[/tex]
Step-by-step explanation:
To find the slope, rearrange the equation to y=mx+b or y=mx+c.
[tex]4x+5y=-10[/tex]
Subtract 4x from both sides:
[tex]5y=-10-4x[/tex]
Divide 5 on both sides:
[tex]y=\frac{-10-4x}{5}[/tex]
[tex]y=-\frac{4}{5} x-2[/tex]
In the equation of y=mx+b/y=mx+c, m will be the slope.
Therefore, the slope is [tex]-\frac{4}{5}[/tex]