Question

Find the value of m for which the point p (m/3 , 2) is the midpoint of line segment joining A (-5,4) and B (-1,0)

Answer 1

Answer:

The numeric value of m is - 9 .

Step-by-step explanation:

It is given that the point p( m / 3 , 2 ) is the mid point of the line segment joining A( - 5 , 4 ) and B( - 1 , 0 ).

By Mid Point Formula : -

$X= \dfrac{x_{1}+x_{2}}{2} , Y = \dfrac{y_{1}+y_{2}}{2}$

In the question, value of the Y co ordinate is given( i.e. 2 ).

So, applying the mid point formula for X co ordinate.

$\implies X =\dfrac{x_{1}+x_{2}}{2}$

Points from which the line passes are ( - 5 , 4 ) and ( - 1  , 0 ). So, x₁ and x₂ are - 5 and  - 1 respectively and X is m / 3 .

= >  m / 3 = ( - 5 - 1 ) / 2

= >  m / 3 = - 6 / 2

= >  m / 3 = - 3

= >  m = - 3 x 3

= >  m = - 9