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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], coordinates of the midpoint of the segment will be,
x = [tex]\frac{x_1+x_2}{2}[/tex]
y = [tex]\frac{y_1+y_2}{2}[/tex]
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 = [tex]\frac{-9-1}{2}[/tex] = -5
y = [tex]\frac{4-6}{2}[/tex] = -1
Hence, the midpoint M will be located at (-5, -1).
