Find the cartesian equation of the line passing through the points , A

1.	Find the cartesian equation of the line passing through the points , A(2,−1,3) and B(4,2,1)is?
Answer» ANSWER: The equation of line is : $\dfrac{x-<klux>2</klux>}{2}=\dfrac{y+1}{3}=\dfrac{z-3}{-2}$ Step-by-step explanation: Given : Point A( 2 , -1 , 3) and B( 4 , 2 , 1 ). We KNOW, equation of line PASSING through two given points is : $\dfrac{x-x_1}{x_2-x_1}=\dfrac{y-y_1}{y_2-y_1}=\dfrac{z-z_1}{z_2-z_1}$ ( Here two points are A $(x_1,y_1,z_1)$ and B $(x_2,y_2,z_2)$ ) Putting VALUE of point A and B in above equation. We get , $\dfrac{x-2}{4-2}=\dfrac{y+1}{2+1}=\dfrac{z-3}{1-3}\\\\\dfrac{x-2}{2}=\dfrac{y+1}{3}=\dfrac{z-3}{-2}$ The equation of line is : $\dfrac{x-2}{2}=\dfrac{y+1}{3}=\dfrac{z-3}{-2}$ Hence , this is the required solution. Learn More : Geometry brainly.in/question/15663823