Question

find the ratio in which the y -axis divides the line segment joining (5,-6) and(-1,-4) .Also find the coordinate of the point of division ?

Answer 1

the line equation passing through the points is
(y-y1) = m(x-x1)
m = -4-(-6)/-1-5
m = -1/3
equation is y+4 = (-1/3)(X+1)
equation of y axis is X = 0
solving the equations we get the point as (0,-13/3)
which divides the line segment in the ratio of
1:5