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If line g passes through point (2, 2) and is perpendicular to the line h, then what is the equation of line g? With h passing through two points (1, 2) and (3, 6)

  • Math -

    slope of line through the two points = (6-2)/(3-1) = 2

    so the slope of your new line = -1/2
    since the slopes must be negative reciprocals of each other.

    new equation:
    y = (-1/2)x + b
    but (2,2) lies on this
    2 = (-1/2)(2) + b
    3 = b

    y = (-1/2)x + 3

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