Matematika

Pertanyaan

tentukan persamaan garis yang tegas lurus garis.B.garis y=2/3x+1 dan melalui titik (-1,4)

2 Jawaban

  • y = 2/3 x + 1
    m1 = 2/3

    m1 m2 = -1
    2/3 x m2 = -1
    m2 = -3/2

    y - y1 = m(x - x1)
    y - 4 = -3/2(x - (-1))
    2(y - 4) = -3(x + 1)
    2y - 8 = -3x - 3
    3x + 2y - 5 = 0
  • Bab Persamaan Garis
    Matematika SMP Kelas VIII

    tegak lurusy = ax + b, tegak lurus, (p, q)
    y = -x/a + (p + aq)/a

    y = (2/3) x + 1, tegak lurus, (-1, 4)
      = - (3/2) x + (-1 + (2/3) . 4)/(2/3)
      = - (3/2) x + (-3/3 + 8/3) . (3/2)
      = - (3/2) x + (5/3) . (3/2)
      = (-3/2) x + 5/2

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