Question

Find the ratio in which the line x+3y-14=0 divides the line segment joining the points A(-2,4) B(3,7).

Answer 1

let the point be P(X,Y)
RATIO=k:1
so,
X=3k-2/k+1
Y=7k=4/k+1
x+3y-14=0
3k-2+21k+12=14k+14
24k-10=14k+14
10k=24
k=12/5
ratio=12:5