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3.2-bo'lim : Chiziqlar

1-5-masalalar uchun ikkita nuqtadan iborat chiziqning qiyaligini aniqlang va chiziqning grafigini chizing.

  1. \(\left( {2,10} \right),\,\,\,\left( {2,14} \right)\)
  2. \(\left( { - 6,0} \right),\,\,\,\left( { - 1,3} \right)\)
  3. \(\left( {2,12} \right),\,\,\,\left( {6,10} \right)\)
  4. \(\left( { - 5,7} \right),\,\,\,\left( {1, - 11} \right)\)
  5. \(\left( { - 1, - 6} \right),\,\,\,\left( {4, - 6} \right)\)

6 - 12 masalalar uchun ikkita nuqtadan o'tadigan chiziq tenglamasini yozing. Javobingizni nuqta-qiyalik shaklida va qiyalik-kesishma shaklida bering.

  1. \(\left( {2,10} \right),\,\,\,\left( {4,14} \right)\)
  2. \(\left( { - 6,0} \right),\,\,\,\left( { - 1,3} \right)\)
  3. \(\left( {2,12} \right),\,\,\,\left( {6,10} \right)\)
  4. \(\left( { - 5,7} \right),\,\,\,\left( {1, - 11} \right)\)
  5. \(\left( { - 1, - 6} \right),\,\,\,\left( {4, - 6} \right)\)
  6. \(\left( {0,10} \right),\,\,\,\left( {4,2} \right)\)
  7. \(\left( { - 9,2} \right),\,\,\,\left( {3,24} \right)\)

13 - 17 masalalar uchun chiziqning qiyaligini aniqlang va chiziqning grafigini chizing.

  1. \(6x - y = 8\)
  2. \(y + 2x = - 3\)
  3. \(3x - y = 1\)
  4. \(5y + 4x = 7\)
  5. \(6y - 13x = - 4\)

18-20-masalalar uchun berilgan ikkita toʻgʻri chiziq parallel, perpendikulyar yoki hech biri emasligini aniqlang.

  1. \(\left( {0,0} \right)\) , \(\left( {3,18} \right)\) ikkita nuqtadan iborat chiziq va \(\left( { - 1, - 5} \right)\) , \(\left( {1,7} \right)\) ikkita nuqtadan iborat chiziq.
  2. \(y - 4x = 9\) va \(4y - x = - 3\)
  3. \(\displaystyle y = \frac{2}{3}x - 4\) va ikkita nuqtadan iborat chiziq \(\left( { - 4,7} \right)\) , \(\left( {2, - 2} \right)\)
  4. \(\left( {6, - 1} \right)\) orqali va \(9x + 2y = 1\) chizig'iga parallel bo'lgan chiziq tenglamasini toping.
  5. \(\left( {6, - 1} \right)\) orqali o‘tgan va \(9x + 2y = 1\) chizig‘iga perpendikulyar bo‘lgan chiziq tenglamasini toping.
  6. \(\left( { - 4, - 9} \right)\) orqali o‘tgan va \( - 8y - x = 43\) chizig‘iga parallel bo‘lgan chiziq tenglamasini toping.
  7. \(\left( { - 4, - 9} \right)\) orqali o‘tgan va \( - 8y - x = 43\) chizig‘iga perpendikulyar bo‘lgan chiziq tenglamasini toping.