Answer
See the graph
Work Step by Step
We are given $x+4y=10$
$\rightarrow 4y=10-x$
$\rightarrow y=\frac{5}{2}-\frac{1}{4}x$
The y-intercept is $\frac{5}{2}$, so plot a point at $(0,\frac{5}{2})$.
The slope is $-\frac{1}{4}$.
Plot two other points: $(1,\frac{9}{4})$ and $(2,2)$.