Matematika

Pertanyaan

bantu saya menjawab soal ini 15-19
bantu saya menjawab soal ini 15-19

1 Jawaban

  • jawab
    15) m = 1/3 , (x1,y1)= 5,-3
    y - y1 = m(x -x 1)
    y + 3 = 1/3(x - 5)
    3(y+3) = 1(x-5)
    3y + 9 = x - 5
    3y -x = -5-9
    3y  - x = - 14

    16) (x1,y1) = (5,-3)
    m = -1/(-2/3) = 3/2
    y - y1 = m(x - x1)
    y + 3 = 3/2 (x - 5)
    2(y+3)= 3(x - 5)
    2y + 6 = 3x - 15
    2y - 3x = - 21

    17) (x1,y1)= (-2,-4) dan (x2,y2)= (-4,3)
    (y-y1)/(y2-y1) = (x - x1)/(x2 -x 1)
    (y+4)/(3+4) = (x +2)/(-4+2)
    (y+4)/7 = (x+2) / -2
    -2(y+4) = 7(x+2)
    -2y -8 = 7x + 14
    -2y - 7x = 22
    2y + 7x = - 22

    18) garis  melalui (3,4) dan (5,1) → m = (y2-y1)/(x2-x1)= (1-4)/(5-3)= -3/2
    persamaan garis melalui (4,6) → y- y1 = m( x - x1)
    y -6 = -3/2 (x - 4)
    2(y-6) = -3(x-4)
    2y -12 = - 3x + 12
    2y +3x = 24


    19) garis melalui (6,-4) sejajar garis melalui (-7.-4) dan (5,-5)
    m = (-5 +4)/(5 +7) = -1/12
    y - y1 = m (x - x1)
    y + 4 = -1/12 (x - 6)
    12(y + 4)= - 1(x - 6)
    12y + 48 = -x + 6
    12y  + x = - 38