Question

In what ratio does the x axis divide the line segment joining the points (5,3) and (10,-8)

Answer 1

$ratio \: is \: \: 3 : 8 \\ \\ \dfrac{m}{n} = \dfrac{3}{8}$

Please refer the above photographs for the used process.

KEY POINTS TO REMEMBER :-

☸️ For any point which lies on x axis, The coordinates are :-
(X, 0)

And,

For any point which lies on y axis, The coordinates are :-
(0,Y)

☸️ SECTION FORMULA :-

The coordinates of a point which divides a line A (x1, y1) and B (x2, y2) in ratio equal to m:n is expressed as :-

$x = \dfrac{mx_2 + nx_1}{m + n} \\ \\ y = \dfrac{my_2 + ny_1}{m + n} \\ \\ \\ \\ this \: is \: the \: section \: formula$

☸️ Also, The reverse of this section formula is used to find the ratio in which the line is divided by the given points.

(CONVERSE OF SECTION FORMULA)

THANKS!