Answer:
![y=-(4)/(5)x +4](https://img.qammunity.org/2021/formulas/mathematics/high-school/otiw8qqw7piycczs9mbcckd7800ltjdnmc.png)
Explanation:
Recall that slope-intercept form is the following form:
, 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
. With this, we can solve for y to get our answer.
![4x+5y=20\\\\5y=-4x+20\\\\y=-(4)/(5)x +(20)/(5) \\\\y=-(4)/(5)x +4](https://img.qammunity.org/2021/formulas/mathematics/high-school/q694x1kelbf1i1avdaygpec9dcoq6vx3hl.png)