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Answer 1 · 2017-04-11T16:05:41

#" X-intercept="-6," Y-intercept="18," & Z-intercept="-9.#

Let us realise that the given eqn. represents a plane, say #pi.#

The eqn. of a plane having the intercepts #a,b,c# on the Axes, is,

#x/a+y/b+z/c=1................(ast).#

So, to determine the intercepts of #pi,# let us convert in the #(ast)# form.

#3x-y+2z=-18.#

#:. (3x-y+2z)/-18=1, i.e., x/-6+y/18+z/-9=1.#

#rArr" X-intercept="-6," Y-intercept="18," & Z-intercept="-9.#