Determine the ratio in which the line ` 3x + y - 9 = 0` divides the segment joining the points (1,3) and (2,7) : (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:5

Explanation

By section formula


if a point (x,y) divides the line joining the points `(x_1, y_1) and (x_2, y_2)` in the ratio m:n,


then` (x,y) = ((mx_2 + nx_1)/(m+n), (my_2 + ny_1)/(m+n))`


Let the ratio be k:1


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