Finding where the plane intersects the x,y,z axes

[VooDoo]

Homework Statement

The plane defined by x + 2y + 3z = 12 and the point P(4,6,8)
Find where the plane intersects the x,y and z axes

Homework Equations

The Attempt at a Solution

I don't know where to start, I can vaugely remember that the variable t is brought into the equation, but I am really stuck. Your help is appreciated.

 

[Dick]

If a point (x,y,z) is on, e.g. the x-axis, what are y and z?

 

[Dick]

Oh, yeah, and your point P is NOT on the plane. Do you want the plane parallel to the given one and passing through P? Reread the question.

 

[chaoseverlasting]

You can try to get the equation in the intercept form $$x/a+y/b+z/c=1$$ where (a,0,0) (0,b,0) and (0,0,c) are the intercepts on the x, y, and z axes. HINT: Divide by 12.