Matematika

Pertanyaan

Persamaan garis melalui titik (5,-3) dan tegak lurus garis y= -7x + 5 adalah...

2 Jawaban

  • m = -7
    karena tegak lurus maka :
    m1 x m2 = -1
    -7 x m2 = -1
    m2 = 1/7
    pers garis luris = (y-y1) = m (x-x1)
    = y +3 = 1/7 (x-5)
    = y +3 = 1/7x -5/7
    semua dikali 7
    7y +21=x-5
    pers garis : x-7y+26=0
  • y = -7x + 5

    maka..

    m1 = -7
    tegak luru
    m1 x m2 = -1
    -7 x m2 = -1
    m2 = -1 / -7
    m2 = 1/7

    y - y1 = m (x - x1)
    y + 3 = 1/7 (x - 5)
    7 (y + 3) = x - 5
    7y + 21 = x - 5
    7y = x - 5 - 21
    7y = x - 26
    y = 1/7x - 26/7

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