ique si los puntos: A( -3 , 3 ) y B( 0 , -15 ), pertenecen o no a la recta -4x-y+15=0

Respuesta:

El punto A(-3, 3) pertenece a la recta.

El punto B(0, -15) no pertence a la recta.

Explicación paso a paso:

Consideremos la siguiente ecuación de la recta en forma estandar.

-4x - y + 15 = 0

Para verificar si los puntos A y B pertencen a la recta, primero la transformaremos a la forma explícita.

-4x - y + 15 = 0

-4x + 15 = y

y = -4x + 15

El punto A(-3, 3), tiene coordenada x -3 y coordenada y 3. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.

y = -4(-3) + 15 = 3

El punto A(-3, 3) pertenece a la recta.

El punto B(0, -15), tiene coordenada x 0 y coordenada y -15. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.

y = -4(0) + 15 = 15

El punto B(0, -15) no pertence a la recta.

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