Question

In what ratio the point p(-4,y)divided the line segment joining the points A(-6,10)abd and B(3,8)?Hence find the value of y.

Answer 1

Let the ratio of division as lamda : 1

Using internal divison formula.

p(X ) = x2m1+ x1m2/m1+m2

x1 = -6 ; x2= 3 ; m1 = lamda (l); m2 = 1

-4 = 3l + (-6)(1)/l+1

-4l -4 = 3l -6

7l = 2

l/1 = 2/7

So the ratio will be 2:7

value of y

y = y2m1 + y1m2 / m1+ m2

y = 8(2) + (10)(7)/2 +7

y = 16 +70/9

y= 86/9