Matematika

Pertanyaan

1. persamaan garis yg melalui titik (-3,1) dan bergradien 3 adalah....

2. diketahui rumus fungsi f (x) = ax + b. jika f(2) = -2 dan f (-3) = 13 maka nilai f (4) adalah...

1 Jawaban

  • 1. Persamaan Garis Lurus
    y = m(x-x1) + y1
    y = 3(x+3) + 1
    y = 3x + 9 + 1
    y = 3x + 10

    2. Fungsi
    f(x) = ax + b
    f(2) = 2a + b
    -2 = 2a + b

    f(-3) = -3a + b
    13 = -3a + b

    -2 = 2a + b
    13 = -3a + b
    ------------------ -
    -15 = 5a
    a = -15/5
    a = -3

    -2 = 2a + b
    -2 = 2 . -3 + b
    -2 = -6 + b
    -b = -6 + 2
    -b = -4
    b = 4

    f(x) = ax + b
    f(4) = 4 . (-3) + 4
    f(4) = -12 + 4
    f(4) = -8

    Semoga membantu :)

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