Matematika

Pertanyaan

Tolong cara penyelesaian nomor 1-3. Menggunakan cara penyelesaiannya...
Tolong cara penyelesaian nomor 1-3. Menggunakan cara penyelesaiannya...

1 Jawaban

  • gradien m = 1/2
    melalui titik (0,-1)
    y - (-1) = (1/2) (x - 0)
    y + 1 = x/2
    y = x/2 - 2/2
    2y = x - 2
    x - 2y - 2 = 0

    gradien m = -1
    melalui (0,3)
    y - 3 = -1 (x - 0)
    y - 3 = -x
    y = -x + 3
    x + y - 3 = 0

    =================================================

    kemiringan m = 3/5
    melalui (5,9)
    y - 9 = (3/5) (x - 5)
    y - 9 = 3x/5 - 15/5
    y = 3x/5 - 15/5 + 45/5
    y = 3x/5 + 30/5
    5y = 3x + 30
    3x - 5y + 30 = 0

    kemiringan m -1/2
    melalui (6,3)
    y - 3 = (-1/2) (x - 6)
    y - 3 = -x/2 + 6/2
    y = -x/2 + 6/2 + 6/2
    y = -x/2 + 12/2
    2y = -x + 12
    x + 2y - 12 = 0

    ==============================================

    melalui (2,6) dan (-1,-4)
    m = (-4 - 6) / (-1 -2)
    m = -10/-3
    m = 10/3
    pers. garisnya
    y + 4 = (10/3) (x + 1)
    y + 4 = 10x/3 + 1/3
    y = 10x/3 + 1/3 - 12/3
    y = 10x/3 - 11/3
    3y = 10x - 11
    10x - 3y - 11 = 0

    b.
    melalui (1,3) dan (8,-5)
    m = (-5 - 3) / (8 - 1)
    m = -8/7
    pers. garisnya
    y - 3 = (-8/7) (x - 1)
    y - 3 = -8x/7 + 8/7
    y = -8x/7 + 8/7 + 21/7
    y = -8x/7 + 29/7
    7y = -8x + 29
    8x + 7y - 29 = 0