Question

if (4,-2)is the mid point of the line segment joining (3,-2) and (x,-2). find x​

Answer 1

Given :

• (4,-2)is the mid point of the line segment joining (3,-2) and (x,-2)

To find :

• the value of x.

Solution :

It is given that (4,-2)is the mid point of the line segment joining (3,-2) and (x,-2).

Now we will find the value of x.

$\sf \bigg( \dfrac{3 + x}{2} , \: \dfrac{ - 2 - 2}{2} \bigg) =\bigg( 4 , \: - 2\bigg)$

Therefore now :-

$\sf \implies \dfrac{3 + x}{2} = 4$

$\sf \implies \dfrac{3 + x}{1} = 4 \times 2$

$\sf \implies {3 + x} =8$

$\sf \implies {x} =8 - 3$

$\sf \implies { x} =5$

Answer :

• The value of x = 5