OTRA FORMA DE HALLAR LA ECUACIÓN DE LA RECTA

Dados dos puntos cualesquiera pertenecientes a una recta:[br][img]data:image/png;base64,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[/img][br][br]La formula para hallar la ecuación de la recta a partir de sus dos puntos es: [br][br][img]data:image/png;base64,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[/img] [br]Como la pendiente de una recta se puede calcular mediante la siguiente expresión: [br][br][img]data:image/png;base64,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[/img][br]De esta manera, llegamos a la fórmula de la [b]ecuación de una recta dadas las coordenadas de dos puntos [/b]pertenecientes a la recta.[br]
EJEMPLO
Hallar la ecuación de una recta que pasa por los puntos [math]P_1[/math](8,1) y [math]P_{_2}[/math](-2,4).[br][br][u]Solución: [/u][br][size=150][size=100]Como ya conocemos dos puntos de la recta, utilizamos directamente la fórmula para hallar la ecuación.[br] [img]data:image/png;base64,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[/img][br]Ahora sustituimos las coordenadas de los puntos en la fórmula:[br] [img]data:image/png;base64,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[/img] [br]Y finalmente, calculamos la pendiente de la recta: [br][br] [img]data:image/png;base64,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[/img][br]Resolvamos: [br] [img]data:image/png;base64,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[/img][br] [img]data:image/png;base64,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[/img][/size][/size][br]

Information: OTRA FORMA DE HALLAR LA ECUACIÓN DE LA RECTA