Matematika

Pertanyaan

Tolong kakak kakaknyg bisa

Tentukan persamaan garis lurus jika diketahui informasi berikut.
a. melalui (1,4) dan (2,-1)
b. melalui (-1,0) dan (3,-8)

pakai cara

2 Jawaban

  • a) melalui (1, 4) dan (2, -1)
    x1 = 1
    y1 = 4
    x2 = 2
    y2 = -1

    (y - y1) / (y2- y1) = (x - x1) / (x2 - x1)
    (y - 4) / (-1 - 4) = (x - 1) / (2 - 1)
    (y - 4) / (-5) = (x - 1) / 1
    y - 4 = (-5)(x - 1)
    y - 4 = -5x + 5
    y = -5x + 5 + 4
    y = -5x + 9

    b) melalui (-1, 0) dan (3, -8)
    x1 = -1
    y1 = 0
    x2 = 3
    y2 = -8

    (y - y1) / (y2 - y1) = (x - x1) / (x2- x1)
    (y - 0) / (-8 - 0) = (x - (-1)) / (3 - (-1))
    y / (-8) = (x + 1) / 4
    y = (-8)(x + 1) / 4
    y = (-2)(x + 1)
    y = -2x - 2
  • upa) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y - 4) / (- 1 - 4) = (x - 1) / (2 - 1)
    (y - 4) / -5 = (x - 1) / 1
    1 (y - 4) = - 5(x - 1)
    y - 4 = - 5x + 5
    y + 5x = 5 + 4
    y + 5x = 9

    b) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y - 0) / (-8 - 0) = (x + 1) / (3 + 1)
    y / - 8 = (x + 1) / 4
    4y = - 8(x + 1)
    4y = - 8x - 8
    4y + 8x = - 8

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