how to sketch the graph of each line

Question

How do I sketch the graph of each line x+4y=8

Answer 1

All you need are two points.  Pick a value of x, say x = 0, and compute the value of y:

 

x + 4y = 8

For x = 0:

0 + 4y = 8

y = 2

 

So one point is x=0, y=2, or (0,2).  Pick another value of x, say x=4, and compute the y value for x=4.  Then plot your two points on a graph and use a straight edge to draw the line through them.