Question

In what ratio does the X-axis divide the line segment joining the points (2,-3)and (5,6)? find the coordinate of the point of intersection

Answer 1

x axis.... y=0
ratio... m:n
6m+(-3)n=0

ratio-...1:2

Answer 2

We know that

x = M1x2 +M2x1/M1+ M2

And

y = M1y2 + M2y1/M1 +M2

But we know that y=0

So

0 =6M1-3M2/M1 + M2

0 = 6M1 -3M2

-6M1 = -3M2

M1/M2 = 1/2

The ratio is 1 : 2

x = 1*5 +2*2/1+3 = 5+4 /3 =9/3 =3 The coordinate is (3,0)