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.

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)

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

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

Find the distance using the Pythagorean Theorem! a2+b2=c2 (5)2+(7)2=c2 25 + 49 =c2 74 =c2 5 7

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

Try this one using the Pythagorean Theorem!