Matematika

Pertanyaan

Tentukan persamaan garis yang diketahui:
A.sejajar garis 3y-9x+1=0,melalui titik (-8,1)
B.tegak lurus 2y-5x+7=0,melalui titik (5,-2)

1 Jawaban

  • A)
    3y-9x+1 = 0
    3y = 9x - 1
    y = 3x - (1/3)
    sejajar: m1 = m2 = 3
    y = 3x + c
    1 = 3(-8) + c
    c = 1 + 24 = 25
    y = 3x + 25
    0 = y - 3x - 25

    B)
    2y - 5x + 7 = 0
    2y = 5x - 7
    y = (5/2)x - (7/2)
    m1 = 5/2
    m2 = -(1/m1) = -2/5
    y = (-2/5)x + c
    -2 = (-2/5)5 + c
    -2 = -2 + c
    c = 0
    y = (-2/5)x
    5y = -2x
    0 = 5y + 2x

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