Question

3. Find coordinates of midpoint of segment joining points P(-7 , -4) and Q(-2,8).​

Answer 1

☆Given Question :-

• Find coordinates of midpoint of segment joining points P(-7 , -4) and Q(-2,8).

☆Answer

☆Given :-

• A line segment joining points P(-7 , -4) and Q(-2,8).

☆To Find :-

• Midpoint of PQ.

☆Formula used :-

Midpoint Formula:-

Let us consider a line segment joining the points

$\sf \: A(x_1,y_1) \: and \: B(x_2,y_2)$

Let C(x, y) be the midpoint of AB, then coordinates of midpoint C is given by

$\bf \:( x, y) = (\dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} )$

___________________________________________

$\begin{gathered}\Large{\bold{\pink{\underline{CaLcUlAtIoN\::}}}} \end{gathered}$

⟼ Let R(x, y) be the midpoint of line segment joining the points P(-7 , -4) and Q(-2,8).

☆ Now, coordinates of R is given by

$\bf \:( x, y) = (\dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} )$

where,

$\bf \:  ⟼ x_1 = - 7 ,y_1 = - 4 ,x_2= - 2 ,y_2=8$

☆ So, we get

$\bf \:( x, y) = (\dfrac{ - 7 - 2}{2} , \dfrac{ - 4 + 8}{2} )$

$\bf \:( x, y) = ( - \dfrac{9}{2} , 2 )$

$\large{\boxed{\boxed{\bf{Hence, \: the \: midpoint \: is \: ( - \dfrac{9}{2} , 2 ) }}}}$