Answer:
[tex]y=-\frac{4}{5}x +4[/tex]
Step-by-step explanation:
Recall that slope-intercept form is the following form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
To get an equation into slope-intercept form, we just need to solve for y.
We begin with the equation [tex]4x+5y=20[/tex]. With this, we can solve for y to get our answer.
[tex]4x+5y=20\\\\5y=-4x+20\\\\y=-\frac{4}{5}x +\frac{20}{5} \\\\y=-\frac{4}{5}x +4[/tex]
