Question

Find the ratio in which the y axis divides the line segment joining the points (6,-4) and -2,-7. Also find the point of intersection.

Answer 1

Answer:

Let ratio be k:1

Since the one is divided by the y axis then the points of division are (0,y)

Then X= kX2 +X1/k+1

=> 0= -2k +6/k+1

=>k=3

The ratio is 3:1

Then Y = kY2 +Y1/k+1

=> Y= 3(-7) -4/3+1

=> Y = -21-4/4

=> Y = -25/4

Therefore the points of intersection are (0, -25/4).