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.

Question

usukidoll · Answer

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

usukidoll · Answer

I can graph those points.. T_T

anonymous · Answer

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 $(2,1,4)$:$$ax+by+cz=2\2a+b+4c=d$$

usukidoll · Answer

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