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    Slopes of Perpendicular and Parallel Lines

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    13. The slope of the line perpendicular to the line passing through (0, 0) and (-5,-5) is

    a) 0
    b) inf
    c) 1
    d) -1

    16. The line y = x+4 is parallel to 4x + 4y = 15

    a) True
    b) False

    17. The above two lines (question 16) intersect at

    a) (-3.875, 0.125)
    b) (0.125,3.875)
    c) (-0.125, 3.875)
    d) (3.875, 0.125)
    e) none of the above

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    Solution Preview

    To calculate the slope of a line between two points (x0,y0) and (x1,y1) we use:

    a = (y1-y0)/(x1-x0)

    In our case this becomes:

    a = (-5-0)/(-5-0) = (-5)/(-5) = 1

    All lines with this slope are ...

    Solution Summary

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