Question

Determine the ratio in which the straight line X - Y - 2 = 0 divides the
joining (3,-1) and (8,9).
​

Answer 1

Answer:

ratio is 2:3

Step-by-step explanation:

let the ratio be k:1 and coordinate of the point that divides the line segment be (x,y)

thus x = 8k+3/k+1 ; y = 9k-1/k+1

substituting the values of x and y in the equation,

8k+3/k+1 - 9k+1/k+1 - 2 = 0

4 - k - 2k - 2 = 0

-3k + 2 = 0

k = 2/3