Find the cartesian equation of the line passing through the points `A ( 3, 4, - 7 ) and B ( 6, - 1, 1 ) `

Explanation

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)`