Question

In reperul cartezian xoy se considera punctele A(2,1) si B(0,3). Determinati ecuatia dreptei AB.

Answer 1

Pentru a afla ecuatia dreptei determinata de 2 puncte vom folosi formula:

$d: \ \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}$

Aplicam formula exercitiului nostru:

$AB: \ \ \frac{x-2}{0-2}=\frac{y-1}{3-1} \\\\ AB: \ \ \frac{x-2}{-2}=\frac{y-1}{2} \\\\ AB: -x+2-y+1=0 \\\\ \boxed{AB: \ \ x+y-3=0}$