Question

find the coordinates of the point which divides the line segment joining the points for (4,-3 )and (8,5) in the ratio 3:1​

Answer 1

hope this answer may correct

Answer 2

Answer:

• (7 , 3) is the required point.

Step-by-step explanation:

SOLUTION

Let P(x , y) be the required point, then using the section formula.

P(x , y) = {m₁ x₂ + m₂ x₁ / m₁ + m₂} , {m₁ y₂ + m₂ y₁ / m₁ + m₂}

x:

• 3(8) + 1(4) / 3 + 1
• 24 + 4 / 4
• 28 / 4
• 7

y:

• 3(5) + 1(-3) / 3 + 1
• 15 - 3 / 4
• 12 / 4
• 3

∴ P(x , y) = (7 , 3) is the required point.