Question

Find the ratio in which the point(-3,k) divides the line segment joining the points(-5,-4)and (-2,3). Also find the value of k

Answer 1

Step-by-step explanation:

A(-5,-4)=(x1, y2)

B(-2,3)=(x2, y2)

X(-3,k)=(x, y)

m:n=?

using section formula

x=mx2+nx1

m+n

-3=-2m-5n

m+n

-3m-3n=2m -5n

5n-3n=2m+3m

2n=5m

therefore m = 2

n 5

m:n=2:5