1. The Distance and Midpoint Formulas
Goal Find the Midpoint of a Segment
Goal Find the distance between two points on a coordinate plane
Find the slope of a line between two points on a coordinate plane
Goal 3

2. Distance Formula
Used to find the distance between two points

3. Example Answer! Find the distance between (2,1) and (5,2).y1 x2 y2
-First substitute numbers for variables and solve the parentheses.
-Then solve the squared number.
-Add the two numbers.
-Find the square root of the remaining number.
Answer!

4. Example
Find the distance between A(4,8) and B(1,12)
A (4, 8)
B (1, 12)

5. YOU TRY!! Find the distance between: A. (2, 7) and (11, 9)
B. (-5, 8) and (2, - 4)

6. Midpoint Formula
Used to find the center of a line segment

7. Example
Find the midpoint between A(4,8) and B(1,12)
A (4, 8)
B (1, 12)

8. YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9)
B) (-5, 8) and (2, - 4)

9. THE SLOPE FORMULA!

10. (6, 5)
"How steep am I?"
Use the slope formula
( -5, -3) = =

11. Homework
Complete the handout given in class.