Matematika

Pertanyaan

tentukan persanaan dari titik (4,-5) dan (-5,6)

2 Jawaban

  • Persamaan garis yg mlalui 2 titik, (x1,y1) dan (x2,y1) :

    (y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)


    Melalui (4,-5) dan(-5,6)
    Persamaan garis :
    (y - (-5))/(6 - (-5)) = (x - 4)/(-5 - 4)
    (y + 5)/11 = (x - 4)/(-9)
    Kalikan silang
    -9y - 45 = 11x - 44
    11x + 9y + 1 = 0
  • [tex] \frac{Y- Y_{1} }{ Y_{2}- Y_{1} } = \frac{X- X_{1} }{ X_{2}- X_{1} } [/tex]

    [tex] \frac{Y-(-5)}{6-(-5)} = \frac{X-4}{-5-4} [/tex]

    [tex] \frac{Y+5}{11} = \frac{X-4}{-9} [/tex]

    [tex]-9Y-45=-11x-44 [/tex]
    -9Y = -11x + 1
       Y = [tex] \frac{11}{9} x[/tex]-[tex] \frac{1}{9} [/tex]

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