Question

In what ratio does the y-axis divide the line segment joining the points (-4, 5) and (8,3). Also, find the point of intersection. SOME PLZZZ HELP

Answer 1

Answer:

Intersection Point = (0,13/3)

Ratio = 37/145

Answer 2

Answer:

ratio: 3\5 and point of intersection: (26,0)

Step-by-step explanation:

equation of line having points (-4,5) and (8,3) will be:

(y-y1)= (y2-y1\x2-x1 )(x-x1)

=x+6y=26.........1

equation of y axis is y=0.......2

solving 1 and 2 we get (x,y)=(26,0)

by section formula (for point of intersection)=(26,0)=(x,y)

x=mx2+nx1\m+n        

26=8m-4n\m+n

26m+26n=8m-4n

30m=18n (ignore the minus sign)

m\n=3\5