Question 53346
You get to pick any value you want and substitute it in for either x or y and solve the equation for the other variable.  In this case x doesn't have a coefficient and y does, so it's easier to substitute numbers in for y and solve for x.  Let's pick y=-2,-1,0,1,2.  That way we should have an easy time solving it and get a good picture of the graph.  They usually have you make a table, but I'm not able to make a table in this program.
If y=-2
x+4y=5 becomes
x+4(-2)=5
x-8=5
x-8+8=5+8
x=13
Plot (13,-2)
If y=-1
x+4(-1)=5
x-4=5
x-4+4=5+4
x=9
Plot (9,-1)
If y=0
x+4(0)=5
x+0=5
x=5
Plot (5,0)
If y=1
x+4(1)=5
x+4=5
x+4-4=5-4
x=1
Plot (1,1)
If y=2
x+4(2)=5
x+8=5
x+8-8=5-8
x=-3
Plot (-3,2)
Your graph should look something like this after you connect your dots:
{{{graph(300,200,-10,10,-10,10,(-1/4)x+5/4)}}}