Question

Find the coordinates of the point which divides the line segment joining the points (3,4) and (-5 -7) internally in he ratio 4:5.

Answer 1

Step-by-step explanation:

We have:

A( 3, 4)

B( -5, -7)

m_1 : m_ = 4 : 5

Using section formula:

[m_1x_2 + m_2x_1/m_1 + m_2 ; m_1y_2 + m_2y_1/m_1 + m_2]

Where:

x_1 = 3

x_2 = -5

y_1 = 4

y_2 = -7

m_1 = 4

m_2 = 5

Substituting:

[4(-5) + 5(3)/4 + 5 ; 4(-7) + 5(4)/4 + 5]

[-20 + 15/9 ; -28 + 20/9]

[-5/9 ; -8/9]

Coordinates of point:

[-5/9 ; -8/9]