Matematika

Pertanyaan

Tentukan gradien garis yang melalui 2 titik dibawah ini :
A. Titik a (0,0)
Titik b (3,6)
B. Titik a (-2,3)
Titik b (4,-6)
C. Titik a (4,-1)
Titik b (-2,3)
D. Titik a (1,5)
Titik b(6,-5)

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1 Jawaban

  • a) (y - 0) / (6 - 0) = (x - 0) / (3 - 0)
    y / 6 = x /3
    3y = 6x
    y = 2x
    m = 2

    b) (y - 3) / (-6 - 3) = (x + 2) / (4 + 2)
    (y - 3) / (-9) = (x + 2) / 6
    6 (y - 3) = (-9)(x + 2)
    6y - 18 = - 9x - 18
    6y = - 9x - 18 + 18
    6y = - 9x
    y = - 9/6 x
    y = - 3/2 x
    m = - 3/2

    c) (y + 1) / (3 + 1) = (x - 4) / (-2 - 4)
    (y + 1) / 4 = (x - 4) / (-6)
    (-6) (y + 1) = 4(x - 4)
    - 6y - 6 = 4x - 16
    - 6y = 4x - 16 + 6
    - 6y = 4x - 10
    y = - 4/6 x + 10/6
    y = - ⅔ x + 5/3
    m = - ⅔

    d) (y - 5) / (-5 - 5) = (x - 1) / (6 - 1)
    (y - 5) / (-10) = (x - 1) / 5
    5(y - 5) = - 10 (x - 1)
    5y - 25 = - 10x + 10
    5y = - 10x + 25 + 10
    5y = - 10x + 35
    y = - 2x + 7
    m = - 2

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