Question

Find the points which divide the line segment joining the points (0, -3) and (7,1) in the ratio 2:3
internally and externally.​

Answer 1

Answer:

m₁:m₂=2:3

(x₁,y₁)=(0,−3)

(x₂,y₂)=(7,1)

$(x,y) = ( \frac{m1x2 + m2x1}{m1 + m2} , \: \frac{m1y2 + m2y1}{m1 + m2} )$

$= ( \frac{(2 \times 7) + (3 \times 0) }{2 + 3} , \frac{(2 \times 1) + (3 \times (- 3))}{2 + 3} )$

$= ( \frac{14 }{5} , \frac{ 2 - 9 }{5} )$

$= (2 \frac{4}{5} , - 1 \frac{2}{5} )$

Answer 2

Step-by-step explanation:

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