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Cartesian equation of a plane perpendicular to anothe plane with certain intercepts

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

Determine the Cartesian equation of the plane that is perpendicular to the yz-plane and has y-intercept 4 and z-intercept -2.

2. Relevant equations

?

3. The attempt at a solution

I'm pretty sure that the normal to the plane I want to find would be (0,1,1). A y-intercept would go through (0,y,0) and a z-intercept would go through or be (0,0,z). How do I make an equation with a y and z- intercept at 4 and -2 respectively?

 Mark44 Mar22-10 12:12 AM

Re: Cartesian equation of a plane perpendicular to anothe plane with certain intercep

Quote:
 Quote by adrimare (Post 2635114) 1. The problem statement, all variables and given/known data Determine the Cartesian equation of the plane that is perpendicular to the yz-plane and has y-intercept 4 and z-intercept -2. 2. Relevant equations ? 3. The attempt at a solution I'm pretty sure that the normal to the plane I want to find would be (0,1,1). A y-intercept would go through (0,y,0) and a z-intercept would go through or be (0,0,z). How do I make an equation with a y and z- intercept at 4 and -2 respectively?
No, the normal to the plane is NOT <0, 1, 1>. The normal is perpendicular to this vector. The plane is perpendicular to the y-z plane. The y-intercept is 4, which means that the point (0, 4, 0) is on the plane. The z-intercept is -2, which means that what point is on the plane?