Matematika

Pertanyaan

tentukan persamaan garis yang melalui B(1,2) dan tegak lurus garis x-3y+5=0 ??

2 Jawaban

  • x-3y+5 = 0
    m₁ = [tex] \frac{-A}{B} = \frac{-1}{-3} = \frac{1}{3} [/tex]

    m₂ tegal lurus = - [tex] \frac{1}{m1} [/tex]
                           = -3

    y = mx + c
    y = -3x + c
    melalui (1,2) --> x=1 , y=2
    2 = -3(1) +c
    c = 2+3 = 5

    shgga y = -3x+5

  • x - 3y + 5 = 0
    3y = x + 5
    y = (1/3)x + (5/3)

    m1.m2 = -1
    (1/3).m2 = -1
           m2 = 3

    y - y1 = m(x - x1)
    y - 2 = 3(x -1)
    y - 2 = 3x - 3
    y = 3x - 3 + 2
    y = 3x - 1

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