Distance and Midpoint Formula

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

The y-coordinate of the midpoint is (9 + 3)/2 = 6.

The distance d is given by d = $$\text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

The distance is $$\text{sqrt}((8 - (-3))^2 + (-42 - (-11))^2) = 32.9$$ .

The distance is $$\text{sqrt}((-1 - (-5))^2 + (-16 - (-8))^2) = \text{sqrt}(80)$$ .

Identify the coordinates of the two points (x1, y1) and (x2, y2).

The x-coordinate of the midpoint is (4 + 6)/2 = 5.

It calculates the straight-line distance between two points in a coordinate plane.

The distance is $$\text{sqrt}((5 - 2)^2 + (7 - 3)^2) = \text{sqrt}(25) = 5$$ .

The midpoint is ((1 + 3)/2, (1 + 3)/2) = (2, 2).