1. Coordinate Geometry and its Formulas (Distance,Midpoint,Slope)

2. We will talk about 3 formulas that are used to calculate various pieces of information about pairs of points. Each formula refers to a set of two points: (x 1, y 1 ) and (x 2, y 2 )

3. Distance between two points. In general, x1x1 x2x2 y1y1 y2y2 A(x 1,y 1 ) B(x 2,y 2 ) Length = x 2 – x 1 Length = y 2 – y 1 the formula for Length of AB or Distance between A and B is y x

4. The Distance Formula "The Distance Formula" sung to the tune of "On Top of Old Smokey" When finding the distance Between the two points, Subtract the two x's The same for the y's. Now square these two numbers, And find out their sum. When you take the square root Then you are all done! Or use three blind Mice song https://www.youtube.com/watch?v=m_iyBtstjzs

5. Example Find the distance between A(4,8) and B(1,12) A (4, 8) B (1, 12) First identify your x 1, x 2, y 1 and y 2 x 1 y 1 x 2 y 2

6. More examples Find the distance between: –A. (2, 7) and (11, 9) –B. (-5, 8) and (2, - 4)

7. You try: (2, 2) and (5, -2) Distance: ________

9. Midpoint Formula:

10. The Midpoint Formula "The Midpoint Formula" sung to the tune of "The Itsy Bitsy Spider" When finding the midpoint of two points on a graph, Add the two x's and cut their sum in half. Add up the y's and divide 'em by a two, Now write 'em as an ordered pair It’s the middle of the two. Or use the midpoint cheer https://www.youtube.c om/watch?v=pNoOYV ZPEAQ

11. Example Find the midpoint between A(4,8) and B(1,12) A (4, 8)B (1, 12) First identify your x 1, x 2, y 1 and y 2 x 1 y 1 x 2 y 2

12. More Examples Find the midpoint between: A) (2, 7) and (14, 9) B) (-5, 8) and (2, - 4)

13. You Try: (2, 2) and (5, -2) Midpoint: _______

14. Now you get to practice. Please complete the handout and turn it end at the end of class. Thanks, have a great weekend.