x - 6y = 12
To find the y-intercept (i.e. where the line goes through the y-axis) put x = 0.
So the equation becomes: 0 - 6y = 12
-6y = 12
So now divide both sides of the equation by -6.
So it becomes: -6y / -6 = 12 / -6
y = -2
And so the line goes through the y-axis at the point (0,-2).
So now you can find the x-intercept by putting y = 0.
So if y = 0 then the equation becomes:
x - 0 = 12
x = 12
And so the line goes through the x-intercept at the point (12,0).
You can now plot these two points on a graph and then join them by a line which will give you the equation.