Find the cartesian equation of the line passing through the points `A – InterviewSolution

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1.	Find the cartesian equation of the line passing through the points `A ( 3, 4, - 7 ) and B ( 6, - 1, 1 ) `
Answer» The equation of the line passing through A `(x_(1),y_(1),z_(1)) and B(x_(2),y_(2),z_(2))` is `(x-x_(1))/(x_(2)-x_(1))=(y-y_(1))/(y_(2)-y_(1)) =(z-z_(1))/(z_(2)-z_(1))` Here `(x_(1),y_(1)z_(1))-=(3,4,-7)` and `(x_(2),y_(2),z_(2))-=(6,-1,1)` `:.` The required equation in `(x-3)/(6-3)=(y-4)/(-1-4)=(z+7)/(1+7)` `:. (x-3)/(3) =(y-4)/(-5)=(z+7)/(8)`

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