Distance on a Coordinate Grid 4.11. 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.

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Presentation transcript:

Distance on a Coordinate Grid 4.11

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?

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…

Distance Formula

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!

Use what you know about slope… -5 4

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!

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

How did they get that crazy formula?

Notes – Distance on a Coordinate Grid

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