*Midpoint Formula (M1U3L13-14)

The Midpoint Formula is used to find the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) in a coordinate plane. It is given by: M = ((x₁ + x₂)/2, (y₁ + y₂)/2).

Using the Midpoint Formula: M = ((3 + 8)/2, (-1 + -6)/2) = (5.5, -3.5).

Using the Midpoint Formula: M = ((1 + -3)/2, (9 + 5)/2) = (-1, 7).

Using the Midpoint Formula: M = ((2 + 10)/2, (-7 + 1)/2) = (6, -3).

Using the Midpoint Formula: M = ((-4 + -2)/2, (4 + 2)/2) = (-3, 3).

The Midpoint Formula calculates the point that is exactly halfway between two given points in a coordinate plane.

The coordinates of the midpoint are ((x₁ + x₂)/2, (y₁ + y₂)/2).

The midpoint is significant as it divides a line segment into two equal parts and is often used in constructions and proofs.

You can verify the midpoint by checking that the distances from the midpoint to each endpoint are equal.

Using the Midpoint Formula: M = ((0 + 4)/2, (0 + 4)/2) = (2, 2).