Matematika

Pertanyaan

tolong dibantu buatin isiin caranya ya
tolong dibantu buatin isiin caranya ya

2 Jawaban

  • Persamaan Garis

    15][
    m1 = 1/3
    Sejajar --> m2 = m1 = 1/3

    PG dg gradien m = 1/3 dan melalui (x1,y1) = (5,-3) :
    y - y1 = m(x - x1)
    y + 3 = 1/3 (x - 5)
    3y + 9 = x - 5
    3y = x - 14 ✔

    16][
    m1 = -2/3
    tegaklurus ---> m2 = -1/m1 = 3/2

    PG dg m = 3/2 dan melalui (5,-3) :
    y + 3 = 3/2 (x - 5)
    2y + 6 = 3x - 15
    2y = 3x - 21 ✔

    17][
    PG yg mlalui (-2,-4) dan (-4,3)
    (y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
    (y + 4)/(3 + 4) = (x + 2)/(-4 + 2)
    -2(y + 4) = 7(x + 2)
    -2y - 7x = 8 + 14
    -2y - 7x = 22 ✔
  • m1 = 1/3
    syarat sejajar
    m1 = m2 = 1/3
    pers. garis yang melalui (5,-3) dan bergradien 1/3 adalah
    y + 3 = 1/3 (x - 5)
    y + 3 = x/3 - 5/3
    y = x/3 - 5/3 - 9/3
    y = x/3 - 14/3
    3y = x - 14
    3y - x = -14

    ---------------------------------------------------------------

    m1 = -2/3
    syarat tegak lurus
    m1 . m2 = -1
    -2/3 , m2 = -1
    m2 = 3/2

    pers. garis yang melalui (5,-3) dan gradien 3/2 adalah
    y + 3 = 3/2 (x - 5)
    y = 3x/2 - 15/2 - 6/2
    y = 3x/2 - 21/2
    2y = 3x - 21
    3x - 2y - 21 = 0

    ---------------------------------------------------------------------------------
    (-2,-4) (-4,3)

    (y + 4) / (3 + 4) = (x + 2) / (-4 + 2)
    (y + 4) / 7 = (x + 2) / -2
    -2(y + 4) = 7(x + 2)
    -2y - 8 = 7x + 14
    7x + 2y + 22 = 0