Matematika

Pertanyaan

Persamaan garis yang melalui titik (-3,-4) dan bergradien 2/3 adalah...
A.2x-3y-6=0
B.2x-3y+6=0
C.3x-2y+1=0
D.3x+2y-1=0

2 Jawaban

  • Pakai rumus
    y - y1 = m(x - x1)
    y - (-4) = 2/3 ( x - (-3))
    y + 4 = 2/3 (x + 3)
    ---------------------------- ×3
    3y + 12 = 2(x + 3)
    3y + 12 = 2x + 6
    0 = 2x + 6 - 3y - 12
    2x - 3y - 6 = 0 (A.)
  • y - y1 = m (x - x1)
    y - (-4) = 2/3 (x - (-3))
    y + 4 = 2/3 (x + 3)
    y + 4 = 2/3x + 2
    -2/3x + y + 4 -2 = 0
    -2/3x + y + 2 = 0
    semua ruas dikali -3
    2x - 3y - 6 = 0 (a.)

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