Question

Find the ratio in which y-axis divides the
line segment joining the points A(5, -6) and
B(-1,-4). Also find the co-ordinates of the point
of division.​

Answer 1

Step-by-step explanation:

Let the ratio in which the line segment joining A (1, - 5) and B ( - 4, 5) is divided by x-axis be k: 1

Therefore, the coordinates of the point of division is (-4k+1/k+1,5k-5/k+1)

We know that y-coordinate of any point on x-axis is 0

Therefore,

(5k-5/k+1)= 0

k = 1

Therefore, x-axis divides it in the ratio 1:1.

Division point = ()

= (-4(1)+1/1+1,5(1)-5/1+1)

= (-3/2, 0)

i hope it helps u