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    Line Segment

    Visual representation

    Visual representation

    Defining inequalities

    y = (x (p_y - q_y))/(p_x - q_x) + (p_x q_y - p_y q_x)/(p_x - q_x) and p_x<=x<=q_x
(assuming endpoints (p_x, p_y), (q_x, q_y))

    Combinatorial properties

    vertices | 2
edges | 1

    Properties

    midpoint | (1/2 (p_x + q_x), 1/2 (p_y + q_y)) = (0.5 (p_x + q_x), 0.5 (p_y + q_y))
length | sqrt((p_x - q_x)^2 + (p_y - q_y)^2)
slope | (p_y - q_y)/(p_x - q_x)
(assuming endpoints (p_x, p_y), (q_x, q_y))

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