Birinchidan, biz yangi chiziqning qiyaligini olishimiz kerak, i.e. \(\left( { - 7,2} \right)\) nuqtasi orqali chiziq. Biz bilamizki, bu chiziq \(3x - 14y = 4\) chizig'iga parallel va shuning uchun ikkinchi chiziq bilan bir xil qiyalik bo'lishi kerak.

Shuning uchun biz qilishimiz kerak bo'lgan narsa - ikkinchi chiziq tenglamasini qiyalik-kesish shakliga qo'yish va uning qiyaligini olish.

\[\begin{align*}3x - 14y & = 4\\ 14y & = 3x - 4\\ y & = \frac{3}{{14}}x - \frac{2}{7}\hspace{0.25in}:\hspace{0.25in}{m_2} = \frac{3}{{14}}\end{align*}\]

Shunday qilib, yangi chiziq \({m_1} = {m_2} = \frac{3}{{14}}\) qiyaligiga ega bo'lishi kerak.

2-qadam

Endi bizda yangi chiziqning qiyaligi ham, yangi chiziq orqali nuqta ham bor, shuning uchun biz yangi chiziq tenglamasini yozish uchun chiziqning nuqta-qiyalik shaklidan foydalanishimiz mumkin.

\[y = 2 + \frac{3}{{14}}\left( {x - \left( { - 7} \right)} \right) = 2 + \frac{3}{{14}}\left( {x + 7} \right) = \frac{3}{{14}}x + \frac{7}{2}\]