 Hello and welcome to the session. I am Asha and I am going to help you with the following question which says point r h k divides a line segment between the x's in the ratio 1 is to 2, find the equation of the line. Let us now start with the solution and first let us interpret the given question in the form of a figure point O denotes 0 0. This is x axis, this is y axis and suppose this is the line p q in the ratio 1 is to 2 and let this line in the y intercept p so the coordinate of point q is a 0 and point p is 0 p. Here we are given in p q ratio 1 is to 2. The value of h and k with the help of section formula h is plus 1 into 0, point 3 this is equal to 2 a upon 3 so this implies a is equal to 3 h upon 2 is given by 2 into 0 plus 1 into b upon 3 so this is equal to b upon 3 which further implies that b is equal to 3 k. Since if we have a line q divided m is to n then point r is given by n times of x2 plus n times of x1 upon m plus n and m times of y2 plus n times of y1 upon n plus n. So with the help of this formula we found the value of a and b. Now equation of the line in intercept form x intercept is a and y intercept is b is x upon a plus y upon b is equal to 1. Substituting the values of a and b, bh upon 2 and b is 3k f3h upon 2 plus y upon 3k is equal to 1 or we have 2x upon 3h plus y upon 3k is equal to 1 or 2xk yh is equal to 3hk. Now the line is given by 2kx plus hy is equal to 3kh. So this is our answer hope you have understood it take care and have a good day.