# How to find an equation of the plane through the point (4, -4, -5) and parallel to the plane −3x−4y+3z=−5 ?

##### 1 Answer

Parallel planes have the same perpendicular vector

Multiply the [x,y,z] components of the perpendicular vector into

#### Explanation:

First of all, let's name the planes

When we have the equation of a plane, we have the perpendicular vector as well! You can tell what the perpendicular vector is by looking at the coefficients of the x, y and z components of the plane..

In this case, the perpendicular vector of

Now, we have the perpendicular vector of

Next step is to multiply this vector into

where

Notice: The only thing that changed is