For any equation:
To find the x-intercepts: set y=0 and solve for x.
To find the y-intercepts: set x=0 and solve for y.
In your equation:
x-int: y=0
3x + 4(0) = 12
3x = 12 divide both sides by 3
x = 4
x-int: (4,0)
y-int: x=0
3(0) + 4y = 12
4y = 12 divide both sides by 4
y =3
y-int: (0,3)