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March 28, 2017

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A line contains the points (0, -2) and (1,3). Another line graphed in the same coordinate plane contains the points (3, -1) and (-2,0).
Based on the slope of these lines, are they parallel, perpendicular or neither?

  • geomerty - ,

    (0,-2),(1,3).
    (3,-1),(-2,0).

    m1 = (3-(-2)) / (1-0) = 5/1 = 5.

    m2 = (0-(-1)) / (-2-3) = 1/-5 = -1/5.

    mi and m2 are negative reciprocals of each other.Therefore, the lines are
    perpendicular.

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