We find the x-intercept by solving the equation 2x + 6y = 12 for y = 0:

2x + 6*0 = 12

x = 12/2

x = 6

x-intercept is (6, 0).

We find the y-intercept by solving the equation 2x + 6y = 12 for x = 0:

2*0 + 6*y = 12

y = 12/6

y = 2

y-intercept is (0, 2).

The graph of the equation 2x + 6y = 12 is the straight line going trough the points (0, 2) and (6, 0).

click here to see the graph of 2x + 6y = 12