Question

Determine the Cartesian equation of the plane that passes through the points (1,2,1) and (2,1,4), and parallel to the x-axis.

Answer 1

($#&(*#&$#*()$ I can't believe I forgot how to do this *stomps feet*

Answer 2

I can graph those points.. T_T

Answer 3

As you know, every equation of the form \(ax+by+cz=d\) (up to a constant multple) represents a unique plane. if it contains \((1,2,1)\) then \(x=1,y=2,z=1\) must satisfy the equation:$$ax+by+cz=d\\a+2b+c=d$$same for \((2,1,4)\):$$ax+by+cz=2\\2a+b+4c=d$$