Question

x+3y=9. graph using slope and y-intercept

Answer 1

Well, in order to first determine the slope or y-intercept, you must put change the equation to this format: y=mx+b.
m=slope and b=y-interceptI
in order to do that, you must change this equation.

x+3y=9
-x     -x
----------
3y=9-x

Then, rewrite it as: 

3y=-x+9
_______
3      3

simplify to  

y=-x/3 +9

Answer 2

In order to graph it easily, we write the given equation into its slope intercept form which is expressed as:

y = mx + b

where m is the slope and b is the y-intercept.

X+3y=9
(3y = 9 - X)1/3
y = (-1/3)X + 3