The x-intercept is the place where the line crosses the x-axis. In other words, y=0. To find it, substitute 0 for y, solve for x. Then you have the x and y coordinates of the x-intercept.
3x-0=6
divide both sides by 3
x=2
The x-intercept is (2,0)
For the y-intercept set x=0, then solve for y. You can also manipulate the equation into the slope-intercept form (y=mx+b) where b is the y-coordinate of the y-intercept. This equation is set up in a way that it's easier to substitute 0 for x.
3(0)-y=6
-y=6
Divide both sides by -1.
y = -6
The y-intercept is (0,-6).
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