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 = (mx_2 + nx_1)/(m + n)`

`\qquad \sf  \dashrightarrow \:y = (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 = ((1 * - 1)+(1 * - 2))/( 1+ 1)`

`\qquad \sf  \dashrightarrow \:x = (- 1- 2)/( 2)`

`\qquad \sf  \dashrightarrow \:x = ( - 3)/( 2)`

Now, let's find y - coordinate ~

`\qquad \sf  \dashrightarrow \:y = ((1 * - 5) + (1 * - 4))/(1 + 1)`

`\qquad \sf  \dashrightarrow \:y = ( - 5 - 4)/(2)`

`\qquad \sf  \dashrightarrow \:y = ( - 9)/(2)`

So, coordinates of midpoint is ~

`\qquad \sf  \dashrightarrow \:( - (3)/(2) ,- (9)/(2) )`