Find the x and y-intercepts for 3x-y=6 graph them.?

The x-intercept would have the sample coordinate of (x, 0) -- where y = 0 
The y-intercept would have the sample coordinate of (0, y) -- where x = 0

The x-intercept can be found by: 
3x - 0 = 6
3x = 6
x = 2

x-intercept is (2, 0)

The y-intercept can be found by: 
3(0) - y = 6
-y = 6
y = -6

y-intercept is (0, -6)

So just graph those two coordinates and then draw a straight line through them. 

To find the x intercept, plug zero in for y and solve for x.
To find the y intercept, plug zero in for x and solve for y.

3(0) - y = 6              3x - 0 = 6
-y = 6                       3x = 6
y = -6                         x = 2
(0,-6)                           (2,0)