Math

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If the line passing through the points (a, 1) and (5, 7) is parallel to the line passing through the points (8, 8) and (a + 2, 1), what is the value of a?

a = ?

  • Math -

    slope of 1st line is (7-1)/(5-a) = 6/(5-a)

    slope of 2nd line is (1-8)/(a+2-8) = -7/(a-6)

    If the lines are parallel, the slopes are equal, so

    6/(5-a) = -7/(a-6)
    6(a-6) = -7(5-a)
    6a-36 = 7a-35
    -a = 1
    a = -1

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