Question

Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3.

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Answer 1

Answer:

To solve our given problem we will use section formula :]

Section Formula states that, when a point divides a line segment internally in the ratio m:n, So the coordinates are :]

$\tiny: \implies (x,y) = \bigg \lgroup x = \frac{m. {x}_{2} +n. {x}_{1} }{m + n} ,y= \frac{m. {y}_{2} +n. {y}_{1} }{m + n} \bigg \rgroup$

Let,

• (-1 , 7) = (x₁ , y₁)

• (4 , -3) = (x₂ , y₂)

• m = 2

• n = 3

Upon Substituting coordinates of our given points in section Formula we get :]

$\tiny: \implies (x,y) = \bigg \lgroup x = \frac{2 \times 4 +3 \times - 1 }{2 + 3} ,y= \frac{2 \times - 3 +3 \times 7}{2 + 3} \bigg \rgroup$

$\tiny: \implies (x,y) = \bigg \lgroup x = \frac{8 - 3 }{2 + 3} ,y= \frac{ - 6 +21}{2 + 3} \bigg \rgroup$

$\tiny: \implies (x,y) = \bigg \lgroup x = \frac{5 }{5} ,y= \frac{15}{5} \bigg \rgroup$

$\tiny: \implies (x,y) = \bigg \lgroup x = 1,y= 3 \bigg \rgroup$

Answer 2

Answer:

To solve our given problem we will use section formula :]

Section Formula states that, when a point divides a line segment internally in the ratio m:n, So the coordinates are :]

Let,

(-1 , 7) = (x₁ , y₁)

(4 , -3) = (x₂ , y₂)

m = 2

n = 3

Upon Substituting coordinates of our given points in section Formula we get :]

Step-by-step explanation: