Matematika

Pertanyaan

Tentukan gradien yg melalui titik:
A. (-3, -10) & (-1, -5)
B. (-4, 3) & (6, 7)

1 Jawaban

  • a. m = (y2-y1)/(x2-x1) = (-5-(-10))/(-1-(-3)) = (-5+10)/(-1+3) = 5/2
    persamaan :
    y-y1 = m(x-x1)
    y-(-10) = 5/2(x-(-3))
    y+10 = 5/2(x+3)
    ______________ x2 (untuk menghilangkan bilangan pecahan agar lebih mudah menghitungnya)
    2(y+10) = 5(x+3)
    2y+20 = 5x+15
    2y = 5x+15-20
    2y = 5x-5 atau 2y-5x = -5 atau 2y-5x+5 =0

    b. m = (y2-y1)/(x2-x1) = (7-3)/(6-(-4)) = 4/(6+4) = 4/10 = 2/5
    persamaan :
    y-y1 = m(x-x1)
    y-3 = 2/5(x-(-4))
    y-3 = 2/5(x+4)
    ____________ x5
    5(y-3) = 2(x+4)
    5y-15 = 2x+8
    5y = 2x+8+15
    5y = 2x+23 atau 5y-2x = 23 atau 5y-2x-23 = 0

Pertanyaan Lainnya