Question

Find the coordinates of point P if P divides the line segment joining the points
A(-1,7) and B(4,-3) in the ratio 2 : 3.
lo find the ordinates of noint A which disiden​

Answer 1

Answer:

(1,-3)

Step-by-step explanation:

Answer 2

The coordinates of point P are (1,3)

Step-by-step explanation:

Given :

A(-1,7) and B(4,-3)

$m_1=2, m_2=3$

Let coordinates of P are (x,y)

Coordinates of point P is given by section formula

$x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Using the formula

The coordinates of point P is given by

$x=\frac{2(4)+3(-1)}{2+3}, y=\frac{2(-3)+3(7)}{2+3}$

$x=\frac{8-3}{5},y=\frac{-6+21}{5}$

$x=1,y=\frac{15}{5}=3$

Hence, the coordinates of point P are (1,3)

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