Find the coordinates of the mid−point of the line segment joining the points A(−2, −5) and B(3, −1).

Concept use:

The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the average of the x-coordinates and the y-coordinates.

Midpoint M = [ x₁ + x₂)/2 , (y₁ + y₂)/2]

Calculations:

Using these coordinates: A(-2, -5) and B(3, -1), the midpoint "M" can be calculated as follows:

Midpoint M = [ x₁ + x₂)/2 , (y₁ + y₂)/2]

Substitute the given coordinates:

Midpoint M = [(-2 + 3)/2 , (-5 - 1)/2]

After calculating, we get:

Midpoint M = [1/2 , -3]

So, the midpoint of the line segment joining the points A(-2, -5) and B(3, -1) is [1/2 , -3].