may 12, 2015
TRANSCRIPT
The distance between A and B is
| | | | | | | | | | | | | |
-5 4
A B
| -5 – 4 | = | -9 | = 9
Remember: Distance is always positive
A
B
The Distance Formula Is Derived From The Pythagorean Formula
6
15
6² + 15² = C²
𝟐𝟔𝟏 = C
As you can see, the shortest distance between two points is...
A straight line; 16.16 < 21
Distance Formula
Dist. = ( x2 - x1 )² + ( y2 - y1 )²
Remember the order ( x , y )
All answers are positive
Find the distance between the two points on the graph.
The Distance Formula:
What is the distance along the x axis?
What is the distance along the y axis?
Let's first use the P.T. to find the distance: a2 + b2 = c2
Now, let's use the distance formula....
Find the distance between:
( 3 – 8 )² + ( 6 - 10 )²
( -5 )² + ( -4 )²
25 + 16
41 = 6.40
( 8 – 3 )² + ( 10 – 6 )²
( 5 )² + ( 4 )²
25 + 16
41 =6.40
( 3 , 6 ) and ( 8 , 10 )Find the distance between:
( 8 , 10 ) and ( 3 , 6 )
Review Graphingy
x
( 0,0 )
Origin
Positive
Negative
Order ( X,Y )Quadrant
I
Quadrant
II
Quadrant
III
Quadrant
IV