Matematika

Pertanyaan

Tentukan persamaan garis yang melalui pasangan titik berikut
a. A(2,2) dan B(4,2)
b. C(3,-1) dan D(9,-1)
c E(0,0) dan F(4,4)
d. G(3,4) dan H(3,5)
e. I(-2,-3) dan J(-2,7)

1 Jawaban

  • a) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y - 2) / (2 - 2) = (x - 2) / (4 - 2)
    (y - 2) / 0 = (x - 2) / 2
    2 ( y - 2) = 0 (x - 2)
    2y - 4 = 0

    b) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y + 1) / (-1 + 1) = (x - 3) / (9 - 3)
    (y + 1) / 0 = (x - 3) / 6
    6 (y + 1) = 0 (x - 3)
    6y + 6 = 0

    c) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y - 0) / (4 - 0) = (x - 0) / (4 - 0)
    y / 4 = x / 4
    4y = 4x
    4y - 4x = 0

    d) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y - 4) / (5 - 4) = (x - 3) / (3 - 3)
    (y - 4) / 1 = (x - 3) / 0
    0 (y - 4) = 1 (x - 3)
    x - 3 = 0

    e) (y - y1) / (y2 - y1) = (x - X1) / (x2 - X1)
    (y + 3) / (7 + 3) = (x + 2) / (-2 + 2)
    (y + 3) / 10 = (x + 2) / 0
    0 (y + 3) = 10 (x + 2)
    10x + 20 = 0

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