we have
6x+y=12
this is the equation of a line
isolate the variable y
y=-6x+12
This is the equation of a line in slope intercept form y=mx+b
where m is the slope and b is the y-intercept
In this problem we have
m=-6
b=12
Drawn the line
To draw the line we need two points
we have the y-intercept-------> (0,12)
Find the x-intercept
For y=0
0=-6x+12
6x=12
x=0.5
the x-intercept is (0.5,0)
Plot the intercepts and draw the line
using a graphing tool
see the attached figure
(please wait a minute)