Answer
x-intercept: $(5, 0)$
y-intercept: $(0, 4)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$4x+5y=20
\\4x+5(0)=20
\\4x+0=20
\\4x=20
\\\frac{4x}{4}=\frac{20}{4}
\\x=5$
Thus, the x-intercept is $(5, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$4x+5y=20
\\4(0)+5y=20
\\0+5y=20
\\5y=20
\\\frac{y}{5}=\frac{20}{5}
\\y=4$
Thus, the y-intercept is $(0, 4)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
