Question

find the coordinates of point which divides the line segment joining 1,-7 and 4,-3 in the ratio of 2:3​

Answer 1

Step-by-step explanation:

Using section formula :

$\sf \:x, \: y = \frac{{mx}_{2} + {nx}_{1}}{m + n} \frac{{my}_{2} + {ny}_{1}}{m + n}$

Where,

m = 2

n = 3

$\sf {x}_{1} = -1$

$\sf {x}_{2} = 4$

$\sf {y}_{1} = 7$

$\sf {y}_{2} = (-3)$

Substitution of the values :

$\longmapsto \sf \:x, \: y = \frac{{mx}_{2} + {nx}_{1}}{m + n}, \frac{{my}_{2} + {ny}_{1}}{m + n} \\ \longmapsto \sf \:x, \: y = \frac{8 + ( - 3)}{5} , \frac{ - 6 + 21}{5} \\ \sf \: \longmapsto x, \: y = \frac{5}{5} , \frac{15}{5} \\ \sf \: \longmapsto x, \: y =( 1, 3 )\: ans.$