Given the equation of the line:
[tex]4x+10y=-20[/tex]
The general slope - intercept form is :
[tex]y=m\cdot x+b[/tex]
Where: m is the slope and b is y - intercept
So, we will transform the given equation to the slope - intercept form as following:
[tex]\begin{gathered} 4x+10y=-20 \\ \\ 10y=-4x-20 \end{gathered}[/tex]
Divide both sides by ( 10):
[tex]\begin{gathered} \frac{10y}{10}=\frac{-4x-20}{10} \\ \\ y=-\frac{4}{10}x-\frac{20}{10} \\ \\ y=-\frac{2}{5}x-2 \end{gathered}[/tex]
So, the slope - intercept form of the given equation is :
[tex]y=-\frac{2}{5}x-2[/tex]
