Problema 2.1(b)(vi)

2.1 Encuentre la ecuación general de la recta que verifica las respectivas condiciones.[br](b) Pasa por los puntos P y Q:[br](vi) P = (13, 1), Q = (1, −2).
Sol:
Una ecuación general la obtenemos calculando el determinante[br][img]data:image/png;base64,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[/img]

Information: Problema 2.1(b)(vi)