x - y = 6

First clear of fractions by multiplying every term by the LCD of 6

6·x - 6·y = 6·6

3x - 4y = 36

Find the x intercept by substituting 0 for y and solving for x
and that will be the x-coordinate of the x-intercept and the 
y-coordinate will be 0:


  3x - 4y = 36
3x - 4(0) = 36
   3x - 0 = 36
       3x = 36
        x = 
        x = 12

The x intercept is therefore (12,0)

Find the y intercept by substituting 0 for x and solving for y
and that will be the y-coordinate of the y-intercept and the 
x-coordinate will be 0:


  3x - 4y = 36
3(0) - 4y = 36
   0 - 4y = 36
      -4y = 36
        y = 
        y = -9

The y intercept is therefore (0,-9) 

Edwin