3.2-bo'lim: Chiziqlar

1 va 2-masalalar uchun ikkita nuqtadan iborat chiziqning qiyaligini aniqlang va chiziqning grafigini chizing.

1. \(\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\) Yechim
2. \(\left( {8,2} \right),\,\,\,\left( {14, - 7} \right)\) Yechim

3-5-masalalar uchun ikkita nuqtadan o'tadigan chiziq tenglamasini yozing. Javobingizni nuqta-qiyalik shaklida va qiyalik-kesishma shaklida bering.

1. \(\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\) Yechim
2. \(\left( {8,2} \right),\,\,\,\left( {14, - 7} \right)\) Yechim
3. \(\left( { - 4,8} \right),\,\,\,\left( { - 1, - 20} \right)\) Yechim

6 va 7-masalalar uchun chiziqning qiyaligini aniqlang va chiziq grafigini chizing.

1. \(4y + x = 8\) Yechim
2. \(5x - 2y = 6\) Yechim

8 va 9-masalalar uchun berilgan ikkita toʻgʻri chiziq parallel, perpendikulyar yoki hech biri emasligini aniqlang.

1. \(\displaystyle y = \frac{3}{7}x + 1\) va \(3y + 7x = - 10\) Yechim
2. \(8x - y = 2\) va \(\left( {1,3} \right)\) va \(\left( {2, - 4} \right)\) ikkita nuqtadan iborat chiziq. Yechim
3. \(\left( { - 7,2} \right)\) orqali o‘tgan va \(3x - 14y = 4\) chizig‘iga parallel bo‘lgan chiziq tenglamasini toping. Yechim
4. \(\left( { - 7,2} \right)\) orqali o‘tgan va \(3x - 14y = 4\) chizig‘iga perpendikulyar bo‘lgan chiziq tenglamasini toping. Yechim