Matematika

Pertanyaan

tolong di jawag yah lks halaman 49 kelas 8 ,no 1,4,5
tolong di jawag yah lks halaman 49 kelas 8 ,no 1,4,5

1 Jawaban

  • Persamaan Garis
    SMP Kelas VIII

    1.a] melalui (3, 5) dan (5, 9)
    (y - y1) / (y2 - y1) = (x - x1) / (x2 - x1)
    (y - 5) / (9 - 5) = (x - 3) / (5 - 3)
    (y - 5) / 4 = (x - 3) / 2
    (y - 5) / 2 = (x - 3)
    y -5 = 2(x - 3)
    y - 5 = 2x - 6
    y = 2x - 6 + 5
    y = 2x - 1

    1.b]melalui (-2, 1) dan (2, 4)
    (y - y1) / (y2 - y1) = (x - x1) / (x2 - x1)
    (y - 1) / (4 - 1) = (x - (-2)) / (2 - (-2))
    (y - 1) / 3 = (x + 2) / 4
    4(y - 1)  = 3 (x + 2)
    4y - 4 = 3x + 6
    4y = 3x + 6 + 4
    4y = 3x +10
    3x - 4y = -10

    1.c] melalui (3, 4) dan (7, -3)
    (y - y1) / (y2 - y1) = (x - x1) / (x2 - x1)
    (y - 4) / (-3 - 4) = (x - 3) / (7 - 3)
    (y - 4) / (-7) = (x - 3) / (4)
    4 (y - 4) = -7 (x - 3)
    4y - 16 = -7x + 21
    4y = -7x + 21 + 16
    4y = -7x + 37
    7x + 4y = 37

    2]
    y = mx + c
    m = gradien

    y = 2x + 5
    m = 2

    tegak lurus, maka m1.m2 = -1
    2 . m2 = -1
    m2 = -1/2

    gradien garis h adalah -1/2

    3] melalui (-3, 5)
    m = 2

    (y - y1) = m(x - x1)
    (y - 5) = 2(x - (-3))
    y - 5 = 2(x + 3)
    y - 5 = 2x + 6
    y = 2x + 6 + 5
    y = 2x + 11