1. 4.1 Apply the Distance and Midpoint Formulas The Distance Formula: d = Find the distance between the points: (4, -1), (-1, 6)

2. Examples: Find the distance between the points: 1.(8, 3), (10, 4) 2. (8, -7), (4, -3)

3. Midpoint Formula The midpoint of a segment is the point in the middle that divides the segment into two equal parts. The Midpoint Formula:

4. Find the midpoint: (-11, -3), (2, -5)

5. Examples: Find the midpoint: 1.(2, 5), (4, 12) 2. (-9, -4), (2, -8) 3. (-11, 7), (8, -3)

6. Find a missing coordinate when distance is given: (-3, 2), (7, b); d = 10

7. Examples: (3, 2), (b, -9); d = 11 (b, 2), (3, -1); d = √58