Question

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

Answer 1

Equation of line passing through the point `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)`

Equation of line passing through the point A(3, 4,-7) and B(6,-1,1) is

`(x-3)/(6-3)=(y-4)/(-1-4)=(z-(-7))/(1-(-7))`

`(x-3)/3=(y-4)/-5=(z+7)/8`