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

Răspuns :

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

[tex]d: \ \frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}[/tex]

Aplicam formula exercitiului nostru:

[tex]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}[/tex]