Question

Find the midpoint of segment connecting (-1, -9) and (-10, 4)

Answer 1

The mid point of segment connecting (-1, -9) and (-10, 4) is
`((-11)/(2)  , (-5)/(2))`

Explanation:

The coordinates of the given points are A(-1,-9) and B (-10,4).

Here, let us assume the point P (x,y) is the mid point of the segment AB.

By MID POINT FORMULA:

The mid point of segments with points ( x1,y1) and (x2,y2) is given as:

`(x,y)  = ((x_1 +x_2)/(2)  , (y_1 +y_2)/(2))`

So, here the coordinates of P are :
`(x,y) = ((-1 + (-10))/(2) , (-9+ 4)/(2))  = ((-11)/(2)  , (-5)/(2))`

⇒
`P(x,y) =  ((-11)/(2)  , (-5)/(2))`

Hence, the mid point of segment connecting (-1, -9) and (-10, 4) is
`((-11)/(2)  , (-5)/(2))`