Matematika

Pertanyaan

1. Persamaan garis yg melalui titik (-2,5) dan titik (8,-1) adalah......

2. Persamaan garis yang melalui (5,4) dan sejajar dengan garis yang persamaanya 5y-3x = 2 adalah.....

2 Jawaban

  • 1) ( y - y1 ) / ( y2 - y1 ) = ( x - x1 ) / ( x2 - x1 )
    ( y - 5 ) / ( - 1 - 5 ) = ( x + 2 ) / ( 8 + 2 )
    ( y - 5 ) / - 6 = ( x + 2 ) / 10
    10 ( y - 5 ) = - 6 ( x + 2 )
    10y - 50 = - 6x - 12
    10y + 6x = - 12 + 50
    10y + 6x = 38 ( disederhanakan)
    5y + 3x = 19

    2) 5y - 3x = 2
    5y = 3x + 2
    m = 3/5
    sejajar m1 = m2 = 3/5
    pers garis
    y - y1 = m ( x - x1 )
    y - 4 = 3/5 ( x - 5 )
    y = 3/5 x - 3 + 4
    y = 3/5 x + 1 ( dikali 5 )
    5y = 3x + 5
    5y - 3x = 5
  • Kelas 8 Matematika
    Bab Persamaan Garis

    1] (y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
    (y - 5)/(-1 - 5) = (x + 2)/(8 + 2)
    (y - 5)/(-6) = (x + 2)/10
    10(y - 5) = (-6) (x + 2)
    10y - 50 = -6x - 12
    6x + 10y = 50 - 12
    6x + 10y = 38
    3x + 5y = 19

    2] ax + by = c, sejajar, (p, q)
    ax + by = ap + bq

    -3x + 5y = 2, sejajar, (5, 4)
    -3x + 5y = -3 . 5 + 5 . 4
    5y = 3x -15 + 20
    y = (3/5) x + (5/5)
    y = (3/5) x + 1

Pertanyaan Lainnya