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The Distance Formula 3102.4.3    Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates;

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Presentation on theme: "The Distance Formula 3102.4.3    Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates;"— Presentation transcript:

1 The Distance Formula     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)

3 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!
a2+b2=c2 (5)2+(7)2=c2 =c2 74 =c2 5 7

6 Now try these (12,3) and (-8,3) (6,8) and (3,4) (0,0) and (5,12)

7 Try this one using the Pythagorean Theorem!


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