Matematika

Pertanyaan

Tentukan persamaan garis yanv melalui titik c. D (-3,1) dan sejajar garis x+4y+5=0

2 Jawaban

  • Bab Persamaan Garis
    Matematika SMP Kelas VIII

    ax + by = c, sejajar, (p, q)
    ax + by - (ap + bq) = 0

    x + 4y + 5 = 0, sejajar, (-3, 1)
    x + 4y - (1 . (-3) + 4 . 1) = 0
    x + 4y - (-3 + 4) = 0
    x + 4y - 1 = 0
  • x + 4y + 5 = 0
    4y = -x - 5
    y = -1/4 x - 5/4

    m1 = m2 = -1/4 (karena sejajar)

    melalui titik D(-3,1)

    y - y1 = m2 (x - x1)
    y - 1 = -1/4 (x - (-3))
    y - 1 = -1/4 (x + 3)
    y - 1 = -1/4 x - 3/4
    y = -1/4 x - 3/4 + 1
    y = -1/4 x - 3/4 + 4/4
    y = -1/4 x + 1/4
    ---------------------- × 4
    4y = -x + 1

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