1. Finding the Distance Between Two Points

2. Distance Formula Where does this formula come from and how do we use it? Consider the following example….

3. Find the distance between the points (2, 2) and (4, 8).

4. Midpoint Formula You can think of it as the “middle” or the “average” of the x coordinates and the “middle” or the “average” of the y coordinates Remember that the midpoint is always a POINT

5. Pg. 5 (1 – 7 odd)

6. Equations of Lines

7. Graphing (Use y-intercept and slope) Ex1) Graph

8. Slope Ex2) Find the slope between (2, 4) and (-4, -8)

9. Special Cases Ex 2) Find the slope of the line that goes through the points (2, 4) and (6, 4). Ex3) Find the slope of the line that goes through the points (1, -3) and (1, 5).

10. Parallel and Perpendicular Slopes Lines that are parallel always have the ______ slope. Lines that are perpendicular always have the ________ ________ slope.

11. Practice Pg. 11 (1 – 21odd)

12. Finding Equations of Lines In order to find the equation of a line, you have to know two things: 1) _________ 2) _________ Point-Slope Formula

13. Examples 1) Find the equation of the line with a slope of 3 that goes through the point (1, 2)

14. 2) Find the equation of a line that goes through the points (-1, -3) and (5, 3)

15. 3) Find the equation of a line that goes through the point (4, 6) and is perpendicular to the line 4x + 2y = 8

16. 4) Find the equation of the line that goes through the points (5, 2) and (-4, 2)

17. 5) Find the equation of the perpendicular bisector to the segment that joins the points (2, -4) and (6, 8).

18. Pg. 16 (1 – 15odd)