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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; develop the distance formula for a coordinate plane using the Pythagorean Theorem.

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The Distance Formula The distance d between any two points with the coordinates (x 1,y 1 ) and (x 2,y 2 ) is given by A (x 1,y 1 ) B (x 2,y 2 )

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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

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Try this one! Find the distance between (1,2) and (-3,0) Answer is 4.47

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Find the distance using the Pythagorean Theorem! 7 5 a 2 +b 2 =c 2 (5) 2 +(7) 2 =c 2 25 + 49 =c 2 74 =c 2

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Now try these (12,3) and (-8,3) (6,8) and (3,4) (0,0) and (5,12) (-4,2) and (4,17)

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Try this one using the Pythagorean Theorem!

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Find the equation of the line with: 1. m = 3, b = -2 2. m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.

Find the equation of the line with: 1. m = 3, b = -2 2. m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.

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