x - 2y = 6

To find either intercept, set the OTHER letter = 0 and
solve for the letter of the intercept.

That is:

To find the x intercept, set the OTHER letter y = 0 and
solve for x, the letter of the intercept you're seeking.

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

So the x-intercept is (x,y) = (6,0)

To find the y intercept, set the OTHER letter x = 0 and
solve for y, the letter of the intercept you're seeking.

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

So the y-intercept is (x,y) = (0,-3)

Put a dot at the x-intercept at the number 6 on the x-axis:



Put a dot at the y-intercept at the number -3 on the y-axis:




Get a straight edge and lay it across those two points and
draw the line and that's the graph of

x - 2y = 6


Edwin