Answer
See the graph
Work Step by Step
Given: $x+4y=10$
$\rightarrow 4y=-x+10$
$\rightarrow y=\frac{1}{4}x+\frac{5}{2}$
The y-intercept is $\frac{5}{2}$. Plot a point $(0,\frac{5}{2})$.
Find the x-intercept:
$x+4.0=10$
$x=10$
Plot another point $(10,0)$.
Draw the graph.