The Distance Formula

1
The Distance Formula
3102.4.3    Understand horizontal/vertical
distance in a coordinate system as absolute value
of the difference between coordinates develop
the distance formula for a coordinate plane using
the Pythagorean Theorem.
2
The Distance Formula

• The distance d between any two points with the
  coordinates (x1,y1) and (x2,y2) is given by

A (x1,y1)
B (x2,y2)
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Distance Between Two Points

• Find the distance between the points at (2,3) and
  (-4,6)

Now just type this into your calculator!
Round your answer 6.71
4
Try this one!

• Find the distance between (1,2) and (-3,0)

Answer is 4.47
5
Find the distance using the Pythagorean Theorem!
a2b2c2 (5)2(7)2c2 25 49 c2 74 c2
5
7
6
Now try these

• (12,3) and (-8,3)
• (6,8) and (3,4)
• (0,0) and (5,12)
• (-4,2) and (4,17)

7
Try this one using the Pythagorean Theorem!