Answer:
Step-by-stepThe midpoint of a line segment is the point that lies exactly in the middle of the segment. To find the midpoint between two points, we can use the midpoint formula.
Given the two points (1, -3) and (6, 1), we can use the midpoint formula to find the coordinates of the midpoint.
The midpoint formula is:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Let's substitute the coordinates into the formula:
x₁ = 1, y₁ = -3
x₂ = 6, y₂ = 1
Midpoint = ((1 + 6) / 2, (-3 + 1) / 2)
Simplifying this expression gives us:
Midpoint = (7/2, -2/2)
Further simplification gives us:
Midpoint = (7/2, -1)
Therefore, the midpoint of the line segment between the points (1, -3) and (6, 1) is (7/2, -1). explanation: