Question

Find the midpoint of the line segment with end coordinates of: (-2,-4) and (-1,-5)

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's use section formula ~

$\qquad \sf \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n}$

$\qquad \sf \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n}$

And since mid point divides a line segment Into two equal parts, m : n = 1 : 1

so, take m = n = 1

$\qquad \sf \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1}$

$\qquad \sf \dashrightarrow \:x = \dfrac{- 1- 2}{ 2}$

$\qquad \sf \dashrightarrow \:x = \dfrac{ - 3}{ 2}$

Now, let's find y - coordinate ~

$\qquad \sf \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1}$

$\qquad \sf \dashrightarrow \:y = \dfrac{ - 5 - 4}{2}$

$\qquad \sf \dashrightarrow \:y = \dfrac{ - 9}{2}$

So, coordinates of midpoint is ~

$\qquad \sf \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )$