Matematika

Pertanyaan

Tentukan gradien melalui titik berikut.
A. Titik A (5,3) dan titik B (6,4)
B. Titik B (-4,-5) dan titik C. (7,-8)

1 Jawaban

  • A. x¹ = 5, y¹= 3
    x²= 6, y²= 4
    y-y¹ x-x¹
    ------- = -------
    y²-y¹ x²-x¹
    y-3 x-5
    ------- = -------
    4-3 6-5
    y-3 x-5
    ------ = --------
    1 1
    1(y-3) = 1(x-5)
    y-3 = x-5
    y-x = -5+3
    y-x = -2


    B. x¹= -4 y¹= -5
    x²= 7 y²= -8
    y-y¹ x-x¹
    ----- = ------
    y²-y¹ x²-x¹
    y+5 x+4
    ------ = -------
    -8+5 7+4
    y+5 x+4
    ------ = --------
    -3 11
    11 (y+5) = -3 (x+4)
    11y + 55 = -3x - 12
    11y + 3x = -12 - 55
    11y + 3x = -67

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