1. 4.1 Distance and Midpoint Formulas
Standards: MM1G1a and MM1G1c

2. Midpoint Formula

3. The Midpoint Formula

4. Midpoint Formula

5. (Ex 1) Find a midpoint of a line segment.
Find the midpoint of the line segment with endpoints (-3, 7) and (-1, 11).

6. (Ex 2) Find a missing coordinate
Find the missing coordinate given that the midpoint (1, 3) is between the 2 points (-1, 8) and (x, y).

7. Checkpoint 1. Find the midpoint: (1, -2) and (5, -4)
3. Find the missing coordinate.
Midpoint (-1, 3). Endpoints: (2, 4) and (x, y)

8. Distance Formula

9. Distance Formula

10. (Ex 3) Find the distance between 2 points
(4, -3) and (-7, 2).

11. (Ex 4) Find a missing coordinate.
The distance between (5, a) and (9,6) is 4 2 units. Find the possible values of a.

12. Checkpoint 4. Find the distance between (2, -3) and (5, 1).
5. The distance between (-1, 2) and (3, b) is 41 units. Find the possible values of b.

13. (Ex 5) Find the midpoint and length of the line segments.

14. (Ex 6) “Real”-world example
On a road trip, you hike 3 miles north and 2miles west. Starting at the same point, your friend hikes 4 miles east and 1 mile south.
How far apart are you?
If you want to meet for lunch, where could you meet so each person goes the same distance?

15. (Ex 7) Find the distance between a point and a line.
What is the distance from point B to line q? B
(1, 4)
(4, 1) q
(1, -2)

16. Checkpoint
6. Find the distance from point A to line c.

17. Assignment
p. 195 #2-8 (even), (even)
p. 232 #20 and 22