Matematika

Pertanyaan

Tentukan persamaan garis yang melalui titik-titik koordinat berikut!
a.A(3,3) dan B(2,1)
b.C(-1,4) dan D(1,3)
c.E(6,10)dan F(-5,2)

1 Jawaban

  • A. Rumus : y-y1/y2-y1 = x-x1/x2-x1

    y-3/1-3 = x-3/2-3
    y-3/-2 = x-3/-1
    -2(x-3) = -1(y-3)
    -2x+6 = -1y+3
    -2x = -1y+3-6
    -2x = -1y-3
    atau -2x+1y+3 = 0

    B. Rumus : y-y1/y2-y1 = x-x1/x2-x1.

    y-4/3-4 = x-(-1)/1-(-1)
    y-4/-1 = x+1/2
    -1(x+1) = 2(y-4)
    -1x-1 = 2y-8
    -x = 2y-8+1
    -x = 2y-7
    atau -x-2y+7 = 0

    C. Rumus : y-y1/y2-y1 = x-x1/x2-x1

    y-10/2-10 = x-6/-5-6
    y-10/-8 = x-6/-11
    -8(x-6) = -11(y-10)
    -8x+56 = -11y+110
    -8x = -11y+110-56
    -8x = -11y+54
    atau -8x+11y-54 = 0

    semoga membantu:)

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