Matematika

Pertanyaan

diketahui persamaan garis y= mx+c. tentukan nilai m dan c jika garis tersebut melalui titik:
a. (2,1) dan (-3, -1)
b. (2,0) dan (0,4)
c. (-4, 2) dan (3,-3)

tolong dijawab ya

1 Jawaban

  • Rumus : (y - y₁) = (x - x₁)(y₂ - y₁) / (x₂ - x₁)

    a. (y - 1) = (x - 2)(-1 - 1) / (-3 - 2)
    y - 1 = (x - 2)(-2) / (-5)
    -5y + 5 = -2x + 4
    5y = 2x + 1
    y = [tex] \frac25x + \frac15 [/tex]

    m = 2/5 , c = 1/5

    b. (y - 0) = (x - 2)(4 - 0) / (0 - 2)
    y = (x - 2)(4) / (-2)
    -2y = 4x - 8
    y = -2x + 4

    m = -2 , c = 4

    c. (y - 2) = (x - [-4])(-3 - 2) / (3 - [-4])
    y - 2 = (x + 4)(-5) / (7)
    7y - 14 = -5x - 20
    7y = -5x - 6
    y = - ⁵/₇ x - ⁶/₇

    m = -5/7 , c = -6/7

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