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Hallar la ecuación de la recta que pasa por los puntos A(1,3) y B(3,7). Representarla gráficamente. Indicar su pendiente.

Recuerda hacer la gráfica.


a.
y=2x+1


b.
y=2x+2

c.
y=2x+3

Sagot :

Victorcarlos346idn

Answer:

A

Step-by-step explanation:

la recta:

[tex]y-yo=m(x-xo)[/tex] (*)

P=(xo,yo)

[tex]m=\frac{Ya-Yb}{Xa-Xb}[/tex]

substituindo:

[tex]m=\frac{3-7}{1-3}\\\\m=2[/tex]

Seja P=A=(xo=1,yo=3), utilizando a formula (*)

[tex]y-3=2(x-1)\\y=2x-2+3\\y=2x+1[/tex]

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