Question

c) In what ratio does the line x - y - 2 = 0 divides the line segment joining the
points (3,-1) and (8, 9)? Also find the coordinates of the point of division.​

Answer 1

Answer:

let be the ratio of line segment is = k: 1

Answer 2

Answer:

2:3

(5,3)

Step-by-step explanation:

first find equation of line joining the 2 points.

m = ( 9+1)/(8-3) = 2

equation is 2(x-3) = y+1

=> 2x - y = 7

now find intersection of the 2 lines

intersection will be-

(5,3)

now let ration be m:n

according to section formula

5 = (8m+3n)/(m+n)

=> 2n = 3m

m:n = 2:3