1. Distance on a Coordinate Grid 4.11

2. How far?  Jenn’s house is 4 miles west and 4 miles north of the center point of the city. Viet’s house is 1 mile south of the center point of the city.  How many miles is it to go in a straight line from Jenn’s house to Viet’s house?

3. Coordinate Grid  Today, we are attempting to determine the distance between two points on a coordinate grid  Sounds unrelated to what we’ve been doing, huh?  Give me a minute and you’ll see…

4. Distance Formula

5. The easier way…  It starts with finding how much you go up/down and over to get from one point to the next  Sound familiar?  That’s right…it’s just slope!

6. Use what you know about slope… -5 4

7. Now, to find that missing side…hmmm…  How do you find the missing side of a right triangle?  Pythagorean Theorem!!  I told you it was all related!

8. Let’s finish this off! Therefor, the distance between the two points is approximately 6.4 units!

9. How did they get that crazy formula?

10. Notes – Distance on a Coordinate Grid

11. Distance on a Coordinate Grid Practice  Calculate the distance between the points below. Round to the nearest tenth if necessary. 1) (-1, 3) and (2, 7)2) (0, 2) and (8, -4) 3) (-7, -2) and (-3, 3)4) (12, 20) and (3, 15) 5) To get to the playground from the entrance of the park, Laura had to walk 12 meters east and then 9 meters south. What is her exact distance from the entrance? 5 units 6.4 units 15 meters 10 units 10.3 units