1. 13.1 The Distance and Midpoint Formulas

2. Review of Graphs

3. Coordinate Plane

4. Origin

5. Axes: x-axis y-axis

6. Quadrants   VV C

7. The arrowhead on each side represents the positive direction

8. Remote Time Which quadrant does the point lie in?

9. Remote Time (3,1)

10. Remote Time (-2,-1)

11. Remote Time (5,-3)

12. Finding Distance A(3,4)B(-1,4) D(-3,-2) C(-3,1)

13. Horizontal Distance AB = |3-(-1)| = 4 or AB = |-1-3| = 4 A(3,4)B(-1,4)

14. Vertical Distance CD = |1-(-2)|= 3 or AB = |-2-1| = 3 D(-3,-2) C(-3,1)

15. What do I do when two points do not lie on a horizontal or vertical line……..? A(1,2) B(4,-2)

16. Make a right triangle A(1,2) B(4,-2) C(1,-2)

17. Use the pythagorean theorem A(1,2) B(4,-2) C(1,-2)

18. Theorem The Distance Formula: The distance d between two points is given by