To determine the slope of a line is best to write the equation on the slope-intercept form.
The general structure of that form is
[tex]y=mx+b[/tex]
Where
m is the slope
b is the y-coordinate of the y-intercept
Then to determine the slope of the given equation you have to write it in terms of y
[tex]2000=20x+10y[/tex]
Pass the x-term to the other side
[tex]2000-20x=10y[/tex]
Divide both sides by 10
[tex]\begin{gathered} \frac{2000}{10}-\frac{20}{10}x=\frac{10}{10}y \\ 200-2x=y \\ y=\text{-}2x+200 \end{gathered}[/tex]
From this equation, we can determine that the slope corresponds to the coefficient that multiplies the x-term
[tex]y=-2x+200[/tex]
The slope is m=-2
