Matematika

Pertanyaan

Persamaan garis yang melalui titik (2,5) dan tegak lurus 3x – 7y = 12

2 Jawaban

  • ay - bx = ax1 - by1
    3y - (7x) = (3×2) - (-7×5)
    3y + 7x = 6 - (-35)
    3y + 7x = 41
  • 3x - 7y = 12
    7y = 3x - 12
    y = (3/7)x - 12/7

    m₁ = 3/7
    m₂ (tegak lurus) = -1 × 7/3 = -7/3

    Persamaan Garis Lurus Melalui Titik (2, 5)
    y - y₁ = m₂(x - x₁)
    y - 5 = -7/3 (x - 2)
    3y - 15 = -7x + 14
    3y = -7x + 29
    7x + 3y = 29.

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