Question

Find the co-ordinates of the point which divides the line segment joining (-1, 3) and (4, -7) internally in the ratio 3:4​

Answer 1

$\huge\underline\mathbb{\red S\pink{O}\purple{L} \blue{UT} \orange{I}\green{ON :}}$

★ Question :

Find the co-ordinates of the point which divides the line segment joining (-1, 3) and (4, -7) internally in the ratio 3:4.

★ Let,

• x1 = - 1 ; y1 = 3
• x2 = 4 ; y2 = - 7
• m1 = 3 ; m2 = 4

By using " Section Formula " we can find the co - ordinates of line segment.

$\tt\purple{★ Section\:Formula\:= (\frac{ m_{1}x _{2} + m_{2}x _{1} }{ m_{1} + m_{2} }, \frac{m _{1}y _{2} + m _{2}y _{1} }{m_{1} + m _{2} } ) }$

• Substitute the values.

$\tt\:⟹( \frac{3(4) + 4( - 1)}{3 + 4}, \frac{3( - 7) + 4(3)}{3 + 4} )$

$\tt\:⟹( \frac{12 - 4}{7} ,\frac{ - 21 + 12}{7} )$

$\tt\:⟹ (\frac{8}{7} \: ,\frac{ - 9}{7} )$

$\underline{\boxed{\bf{\blue{∴ Hence,\:the\:co-ordinate\:is \: ( \frac{8}{7} \: , \frac{ - 9}{7} )}}}} </p><p>$