Question

Use a definition, postulate, or theorem to find the value desired.

Point M is the midpoint between points A and B. If A(-9,4) and B(-1,-6) find the location of M.
M is located at the point

Answer 1

Location of the midpoint M is (-5, -1).

Explanation:

By the definition of the midpoint of a segment having extreme ends as
`(x_1,y_1)` and
`(x_2,y_2)`, coordinates of the midpoint of the segment will be,

x =
`(x_1+x_2)/(2)`

y =
`(y_1+y_2)/(2)`

Since, coordinates of the extreme ends of AB are A(-9, 4) and B(-1, -6).

Therefore, coordinates of the midpoint M will be,

x =
`(-9-1)/(2)` = -5

y =
`(4-6)/(2)` = -1

Hence, the midpoint M will be located at (-5, -1).