Question

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

Answer 1

Answer:

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

Step-by-step 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 = $\frac{x_1+x_2}{2}$

y = $\frac{y_1+y_2}{2}$

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 = $\frac{-9-1}{2}$ = -5

y = $\frac{4-6}{2}$ = -1

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