Geo2.30

Find the ratio in which the straight line $3x-4y-7=0\,$ divides the line joining the points $(2,-7),(-1,3)\,$

By applying the formula for the ratio,we get

$\frac{-(3\cdot2-4\cdot-7-7)}{(3\cdot-1-4\cdot3-7)}\,$

$\frac{-(6+28-7)}{(-3-12-7)}\,$

$\frac{-27}{-22}\,$

Hence the ratio is 27:22