Matematika

Pertanyaan

garis p (-2,4) dan (-4,1) dan garis q (3,a)dan (5,-1)
tentukan nilai a agar garis q sejajar dengan garis p !

1 Jawaban

  • garis P (-2, 4) dan (-4, 1)
    x1 = -2
    y1 = 4
    x2 = -4
    y2 = 1

    m = (y2 - y1) / (x2 - x1)
    m = (1 - 4) / (-4 - (-2))
    m = -3 / -2
    m = 3/2


    Garis q (3, a) dan (5 , -1)
    x1 = 3
    y1 = a
    x2 = 5
    y2 = -1

    m = (y2 - y1) / (x2 - x1)
    m = (-1 - a) / (5 - 3)
    m = (-1 - a) / 2

    Syarat sejajar m1 = m2

    (-1 - a) / 2 = 3/2
    -1 - a = 3
    -a = 3 + 1
    -a = 4
    a = -4

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