Question

In what ratio does the point (-4,6) divide the line segment joining the points A (-6,10) and B (2,-6)

Answer 1

Step-by-step explanation:

Let the ratio be k:1

m1 = k , m2 =1

x1 = -6 , y1 = 10

X2 = 3. , y2 = -8

x = -4. , y = 6

using section formula

x = m1x2 +m2x1/ m1 + m2

-4 = k*3 + 1*-6/ k+1

-4 = 3k-6/k+1

-4k-4 = 3k-6

-7k = -2

k = 2/7

hence ratio is k:1

2/7:1

multiplying by 7 on both sides

7*2/7 : 1*7

2:7

So the ratio is 2:7