Solution Found!
Properties of planes Find the points at which the
Chapter 12, Problem 22E(choose chapter or problem)
Properties of planes Find the points at which the following planes intersect the coordinate axes and find equations of the lines where the planes intersect the coordinate planes. Sketch a graph of the plane.
12x-9y+4z+72=0
Questions & Answers
QUESTION:
Properties of planes Find the points at which the following planes intersect the coordinate axes and find equations of the lines where the planes intersect the coordinate planes. Sketch a graph of the plane.
12x-9y+4z+72=0
ANSWER:Solution 22E
Step 1 of 5:
In this problem we need to find the at which the plane 12x − 9y + 4z + 72 = 0 intersect the coordinate axes and we have to find equations of the lines where the planes intersect the coordinate axes.
Let P be the plane described by the above equation.
The point at which intersects the axis must have .
Substitute into the equation of we get
so intersects the axis at .