Question

find the coordinates of the point divide the segment joining ( 2,3) , (-4,0) in 2:1​

Answer 1

Answer:

Answer: (-2, 1)

Step-by-step explanation:

Hope it helps!

Answer 2

AnsWer :

The Coordinate of the point be ( -2 , 1 )

Given :

• We have two point,
• P1 = ( 2 , 3 )
• P2 = ( -4 , 0 )
• Line Segment divided in the 2 : 1.

Solution :

Let,

• A ( 2 , 3 )
• B ( -4 , 0 )

We have Formula, ( Called as, Section Formula )

$\tt\dagger \: \: \: \: \: \dfrac{ m_1 x_2+ m_2x_1 }{m_1+ m_2 }$

$\tt\dagger \: \: \: \: \: \dfrac{ m_1 y_2 + m_2y_1 }{m_1+ m_2 }$

Where as,

• x1 = 2.
• x2 = -4.
• y1 = 3.
• y2 = 0.
• m1 = 2.
• m2 = 1.

Putting given value,

For X

$\tt \longmapsto \dfrac{2( - 4) + 1(2)}{3}$

$\tt \longmapsto \dfrac{-6}{3}$

$\tt \longmapsto -2 .$

$\rule{90}1$

For Y.

$\tt\longmapsto \dfrac{2(0) + 1(3)}{3}$

$\tt \longmapsto \dfrac{3}{3}$

$\tt \longmapsto 1.$

So, Our Coordinate become

( x , y ) = ( -2 , 1 )

Therefore, the value of given line segment dividend be ( -2 , 1 )

$\rule{200}3$

Note : Graph provide in attachment.