Matematika

Pertanyaan

persamaan garis sejajar dengan 2x+4y+9=0 dan melalui titk (-3,4)

2 Jawaban

  • 2x+4y+9=0
    4y = -2x -9
    Y = -2/4x -9/4
    Y= -½x -9/4
    Gradien = -½

    Y-Y1 =m(x-x1)
    Y-4 = -½(x+3)
    Y-4 = -½x -3/2 (dikali2)
    2y -8 = -x - 3
    2y = -x -3 +8
    2y = -x +5
    X + 2y -5 = 0
  • titik (x1,y1) = (-3,4)
    M1 = 2x+4y+9=0
    4y= -2x-9 -> dibagi 4
    y= -1/2x -9/4
    M1 = -1/2
    *syarat sejajar : M1=M2
    -1/2 = M2
    *persamaan garis :
    y-y1 = M (x-x1)
    y-4 = -1/2 (x-(-3))
    y-4 = -1/2 (x+3) -> dikali silang
    2y-8 = -x -3
    2y+x = -3+8
    2y+x = 5
    2y+x-5 = 0

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