How do you find the coordinates of three points P,Q, and R given 4x- 3y -6z = 6?

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Answer 1 · 2017-07-26T17:46:22

This way is easy:

#P = (3/2,0,0)#, #Q = (0,-2,0)#, and #R = (0,0,-1)#

Let P be of the form #(x,0,0)#:

#4x-3(0)-6(0) = 6#

#x = 6/4#

#x = 3/2#

#P = (3/2,0,0)#

Let Q be of the form #(0,y,0)#

#4(0)-3(y)-6(0) = 6#

#-3y = 6#

#y = -2#

#Q = (0,-2,0)#

Let R be of the form #(0,0,z)#

#4(0)-3(0)-6(z) = 6#

#-6z = 6#

#z = -1#

#R = (0,0,-1)#