Matematika

Pertanyaan

Tentukan persamaan garis yang melalui titik (1,-3)dan titik potong garis y=2x dengan y=5x-4

1 Jawaban

  • y = y
    5x - 4 = 2x
    5x - 2x = 4
    3x = 4
    x = 4/3
    y = 2(4/3) = 8/3
    (x1,x2) = (1,-3)
    (x2,y2) = (4/3 , 8/3)
    m = (4/3 - (-3)) / (8/3 - 1)
    m = (13/3) / (5/3)
    m = 13/3 × 3/5 = 13/5
    y - (-3) = 13/5(x - 1)
    y + 3 = 13/5(x - 1)
    kalikan 5
    5y + 15 = 13(x - 1)
    5y + 15 = 13x - 13
    5y = 13x - 28

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