Asosiy tarkibga o'tish

3.2-bo'lim : Chiziqlar

1. Quyidagi ikkita nuqtadan iborat chiziqning qiyaligini aniqlang va chiziqning grafigini chizing.

\[\left( { - 2,4} \right),\,\,\,\left( {1,10} \right)\]
Yechim

Keling, chiziqning qiyaligini topamiz. Biz yuqorida sanab o'tilgan birinchi nuqtani \(\left( {{x_1},{y_1}} \right)\) nuqtasi va ikkinchi nuqtani qiyalik formulasida \(\left( {{x_2},{y_2}} \right)\) nuqtasi bo'lishiga ruxsat beramiz. E'tibor bering, qaysi nuqta qaysi ekanligi muhim emas. Eng muhimi, qiymatlarni formulaga kiritganingizda izchil bo'lishingizdir.

Mana qiyalik.

\[m = \frac{{10 - 4}}{{1 - \left( { - 2} \right)}} = \frac{6}{3} = 2\]
2-qadam

Mana chiziqning eskizi.

The graph of the line through the two given points.  It is a straight line rising from left to right and the points \(\left( { - 2,4} \right)\) and \(\left( {1,10} \right)\) are marked and labeled on it, along with the extra point \(\left( {0,8} \right)\).  A small dashed right triangle is drawn between \(\left( {0,8} \right)\) and \(\left( {1,10} \right)\) with the horizontal side labeled Run = 1 and the vertical side labeled Rise = 2 to illustrate the slope.

Biz 1-bosqichda hisoblagan qiyalikni ko‘rsatish uchun qo‘shimcha nuqta, \(\left( {0,8} \right)\)ni qo‘shdik.