To find the midpoint of the line segment joining the points (-3, -2) and (-9, 13), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the coordinates of the endpoints.
Let's denote the coordinates of the first point as (x1, y1) and the coordinates of the second point as (x2, y2).
For the given points (-3, -2) and (-9, 13), we have:
x1 = -3
y1 = -2
x2 = -9
y2 = 13
Using the midpoint formula, we can calculate the midpoint coordinates as follows:
Midpoint x-coordinate = (x1 + x2) / 2
Midpoint y-coordinate = (y1 + y2) / 2
Substituting the values:
Midpoint x-coordinate = (-3 + (-9)) / 2 = (-12) / 2 = -6 / 1 = -6
Midpoint y-coordinate = (-2 + 13) / 2 = 11 / 2 = 5.5
Therefore, the midpoint of the line segment joining the points (-3, -2) and (-9, 13) is (-6, 5.5).