Question

In what ratio does the x-axis divide the line segment joining the points (–4, –6) and
(–1, 7)? Find the co-ordinates of the point of division.

Answer 1

Let x-axis divides the line segment joining (–4, –6) and (–1, 7) at the point P in the ratio 1 : k. Now, coordinates of point of division P are x coordinate = (-1 - 4k) / (k + 1) y coordinate = (7 - 6k) / (k + 1) Since P lies on x-axis, therefore y coordinate = 0 (7 - 6k) / (k + 1) = 0 7 - 6k = 0 k = 7/6 Hence, the ratio is 1:7/6 = 6:7 Now, the coordinates of P are (-34/13, 0)