Midpoint and distance formula

Front

What is the midpoint formula?

Back

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

Front

How do you find the distance between two points?

Back

The distance formula is used to find the distance (d) between two points (x1, y1) and (x2, y2): d = √((x2 - x1)² + (y2 - y1)²).

Front

Find the midpoint of the line segment connecting (2, 3) and (4, 7).

Back

Midpoint = ((2 + 4)/2, (3 + 7)/2) = (3, 5).

Front

Find the distance between the points (1, 1) and (4, 5).

Back

Distance = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5.

Front

What is the y-coordinate of the midpoint of the line segment connecting (2, 1) and (2, 5)?

Back

Y-coordinate of midpoint = (1 + 5)/2 = 3.

Front

Find the distance between the points (0, 0) and (3, 4).

Back

Distance = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

What is the x-coordinate of the midpoint of the line segment connecting (1, 2) and (3, 4)?

Back

X-coordinate of midpoint = (1 + 3)/2 = 2.

Front

Find the distance between the points (2, -1) and (2, 5).

Back

Distance = √((2 - 2)² + (5 - (-1))²) = √(0 + 36) = √36 = 6.

Front

What is the formula to calculate the y-coordinate of the midpoint?

Back

Y-coordinate of midpoint = (y1 + y2)/2.

Front

Find the midpoint of the line segment connecting (4, 3) and (0, 6).

Back

Midpoint = ((4 + 0)/2, (3 + 6)/2) = (2, 4.5).