Matematika

Pertanyaan

buatlah persamaan garis dibawah ini !

1) melalui titik A(4,3) , B(-5,-4)
2) melalui titik A(5,-3)

1 Jawaban

  • Jawab :

    1) m = y2 - y1/ x2 - x1 = (-4) - 3/ (-5) - 4 = -7/-9 = 7/9

    y - y1 = m(x - x1)
    y - 3 = 7/9(x - 4)
    y - 3 = 7/9x - 7/9 . 4
    y - 3 = 7/9x - 28/9
    ---------------------------- x 9
    9. y - 3 . 9 = 7/9x . 9 - 28/9 . 9

    9y - 27 = 7x - 28
    9y - 27 - 7x + 28 = 0
    9y - 7x + 1 = 0
    7x + 9y + 1 = 0 => ax + by + c = 0


    2)
    m = y/x = -3/5

    y - y1 = m(x - x1)
    y - (-3) = -3/5 (x - 5)
    y + 3 = -3/5x + 3/5 . 5 = 3
    y + 3 = -3/5x + 3
    y = -3/5 + 3 - 3
    y = -3/5x

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