Distance and Midpoint Formulas

Front

What is the Distance Formula?

Back

The Distance Formula is used to find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane. It is given by: \( d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \)

Front

What is the Midpoint Formula?

Back

The Midpoint Formula is used to find the midpoint between two points (x1, y1) and (x2, y2). It is given by: \( M = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right) \)

Front

Find the distance between the points: (-3, -4) and (5, 5).

Back

12

Front

Find the midpoint of the segment with the endpoints: (-7, -13) and (-11, -5).

Back

(-9, -9)

Front

Find the distance between the points (4, 3) and (0, 6).

Back

5

Front

What is the midpoint between (3, -1) and (7, -5)?

Back

(5, -3)

Front

Find the midpoint of the line with endpoints (1, 2) and (3, 4).

Back

(2, 3)

Front

If the distance between points A(2, 3) and B(x, y) is 5, what is the equation representing this?

Back

\( (x - 2)^2 + (y - 3)^2 = 25 \)

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

5

Front

Find the midpoint of the segment with endpoints (10, 10) and (20, 20).

Back

(15, 15)