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    The Distance Formula

    The distance formula is derived from the pythagorean theorem. To find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.
    The distance formula is the distance formula
    Below is a diagram of the distance formula applied to a picture of a line segment

    Interactive Distance Formula

    (Try full size interactive distance formula)
    Practice Problem

    The Distance Formula


    Distance Formula picture and problem What is the distance between the two points on the left?
    Step 1


     Distance 
    Calculate the distance between the points (1,2) and (4,6).
    Answer