Question

The ratio in which the line segment joining (5, 4)
and(-1,-2) is divided by the x-axis is​

Answer 1

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x1,y1) and (x2,y2) in the ratio m:n, then (x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Substituting (x1,y1)=(3,4) and (x2,y2)=(−2,−1)  in the section formula, we get the point (m+nm(−2)+n(3),m+nm(−1)+n(4))=(m+n−2m+3n,m+n−m+4n)

As the point lies on x - axis, y -coordinate =0.

=>m+n−m+4n=0

=>m=4n  or m:n=