Matematika

Pertanyaan

tentukan persaman garis melalui titik (3,-5)dan (4,-3)

2 Jawaban

  • Materi PGL

    Diketahui
    x1 = 3; x2 = 4
    y1 = -5; y2 = -3
    Persamaan garis melalui dua titik yaitu (3, -5) dan (4, -3) adalah
    [tex] \displaystyle \frac{y-y_1}{y_2 - y_1} = \frac{x-x_1}{x_2 - x_1} \\ \frac{y-(-5)}{-3-(-5)} = \frac{x - 3}{4 - 3} \\ \frac{y+5}{2} = x - 3 \\ y+5 = 2x-6 \\ 2x - y = 11 [/tex]
  • (x1,y1) = (3,-5)
    (x2,y2) = (4,-3)

    (y-y1) per (y2-y1) = (x-x1) per (x2-x1)
    (y-(-5)) per (-3-(-5)) = (x-3) per (4-3)
    y+5 per -3+5 = x-3 per 1
    y+5 per 2 = x-3 per 1
    y+5 kali 1 = x-3 kali 2
    y+5 = 2x -6
    5+6 = 2x-y
    11 = 2x-y atau 2x-y = 11 atau 2x-y-11 = 0

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