The midpoint of the line segment AB is ( - 3.5, - 0.5 ).
A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within.
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
The midpoint M of the line segment formed by two points P(x₁, y₁) and Q(x₂, y₂) is:
M( (x₁ + x₂) / 2 , (y₁ + y₂ ) /2 )
Now,
Let A( - 1, - 6) = (x₁, y₁) and B( - 6, 5) = (x₂, y₂)
Therefore, the halfway point of the segment AB with points A (−1, −6) and B (−6, 5) is:
midpoint = [ ( -1 - 6) / 2 , ( -6 + 5) / 2 ]
midpoint = [ - 7/ 2, -1/ 2 ]
midpoint = ( - 3.5, - 0.5 )
Learn more about midpoints here:
https://brainly.com/question/12223533
#SPJ9