Matematika

Pertanyaan

Persamaan garis yang melalui titik p(0, 3) adalah...A.2y=8 B.3x+y=3 C.2y+3x=5 D.2y-2x=9

1 Jawaban

  • a. 2y = 8, m = 0
    persamaan garis :
    y-y1 = m(x-x1)
    y-3 = 0(x-0)
    y-3 = 0
    y = 3

    b. 3x+y =3, m = -a/b = -3/1 = -3
    persamaan garis :
    y-y1 = m(x-x1)
    y-3 = -3(x-0)
    y-3 = -3x + 0
    y-3 = -3x
    y = 3-3x

    c. 2y+3x = 5, m = -a/b = -3/2
    persamaan garis :
    y-y1 = m(x-x1)
    y-3 = -3/2(x-0)
    y-3 = -3/2x
    _________ x2 (menghilangkan pecahan)
    2y-6 = -3x
    2y = 6-3x

    d. 2y-2x = 9, m = -a/b = -(-2)/2 = 2/2 = 1
    persamaan garis :
    y-y1 = m(x-x1)
    y-3 = 1(x-0)
    y-3 = x
    y = x+3

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