1. Distance and Midpoint in the Coordinate Plane
Section 1-7
Distance and Midpoint in the Coordinate Plane

2. What You Know
The first formula you learned was distance on a number line
There is a way to find the midpoint using a formula in lieu of visual determination

3. Example 1 Segment AB has endpoints of -4 and 9 Midpoint
Determine the midpoint of AB
Midpoint -4 9 A B

4. Now the Coordinate Plane
Formulas are a bit more complicated
MUST show every step
NEED a scientific calculator
Distance on a coordinate plane
Given two points
(x1, y1) and (x2, y2)
Formula

5. Example 2
Find the distance between (-7, 5) and (4, -3) to the nearest tenth

6. Partner Up and Try Determine the distance between (-9, 8) and (-6, 0)

7. Back to the Coordinate Plane
Midpoint formula
Given two points
(x1, y1) and (x2, y2)
Formula
Answer MUST be an ordered pair
Please use fractions

8. Example 3
Find the midpoint between (2, 4) and (-1, 7)

9. More Algebra?!
Sometimes you will be given one endpoint and the midpoint, then asked to find the other end point
This requires splitting the midpoint formula

10. Example 4
The midpoint of segment CD is (-2, 1) and point C has coordinates of (-5, 7)
Find point D
Answer  (1, -5)

11. Partner Up and Try Segment BC has a midpoint of (5, -2)
Endpoint B has coordinates of (3, 4)
Find point C
Find the distance between (-9, 8) and (-6, 0)

12. Assignment
Pg 54
6 – 44 even