Answer
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow 4x+5y=20$
Subtract $4x$ from each side.
$\Rightarrow 4x+5y-4x=20-4x$
Simplify.
$\Rightarrow 5y=-4x+20$
Divide each side by $5$.
$\Rightarrow \frac{5y}{5}=\frac{-4x+20}{5}$
$\Rightarrow y=-\frac{4}{5}x+4$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$ intercept is $b=4$.
Plot the $y-$ intercept $A=(0,4)$.
The slope is $m=-\frac{4}{5}$.
Slope $m=\frac{rise}{run}=\frac{-4}{5}$
The next point is $5$ unit right and $4$ unit down from the point $(0,4)$.
Plot the point $B=(5,0)$.
Draw a line through the two points.
