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

1. Jul 21, 2007

### VooDoo

1. The problem statement, all variables and given/known data
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

2. Relevant equations

3. 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 im really stuck. Your help is appreciated.

2. Jul 21, 2007

### Dick

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

3. Jul 21, 2007

### 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.

4. Jul 21, 2007

### 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.