Question

Find the midpoint of the line segment joining the points ​(​-1,-1​) and ​(-3​,10​).

Answer 1

`(\displaystyle-2,(9)/(2) )`

Explanation:

Hi there!

Midpoint =
`(\displaystyle(x_1+x_2)/(2) ,(y_1+y_2)/(2) )` where the two endpoints of the line segment are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug in the endpoints (​-1,-1​) and ​(-3​,10​):

`(\displaystyle(-1+(-3))/(2) ,(-1+10)/(2) )\\\\(\displaystyle(-4)/(2) ,(9)/(2) )\\\\(\displaystyle-2,(9)/(2) )`

I hope this helps!