Let us consider the plane 3x+2y+z-6=0. Let A be the point at which this plane intersects the axis Ox, that is, A(2;0;0). The point B(0;3;0) is the point at which the plane intersects the axis Oy, the point C(0;0;6) is the point at which the plane intersects the axis Oz. The equation x/a+y/b+z/c=1 is called the intercept form of the equation of a plane.
The plane intersects the axes Ox, Oy, Oz respectively at the points A(a;0;0), B(0;b;0), C(0;0;c).
The intercept form of the equation of the plane that is shown is: x/2+y/3+z/6=1.