Question

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

Answer 1

Answer:

Step-by-step explanation:

p=(x,0)

let the ratio be k:1

by using section formula

we get the ratio 6:7

p=(-22,0)

Answer 2

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)