A line segment has endpoints A(7, -1) and B(-3, 3). What are the coordinates of the midpoint of AB?
To find the midpoint of a line segment, we can use the midpoint formula, which states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the endpoints of the line segment are A(7, -1) and B(-3, 3). Let's substitute the coordinates into the formula:
Midpoint = ((7 + -3) / 2, (-1 + 3) / 2)
Simplifying this gives us:
Midpoint = (4 / 2, 2 / 2)
Which further simplifies to:
Midpoint = (2, 1)
Therefore, the coordinates of the midpoint of AB are (2, 1).