Question

Haga una tabla de valores y trace la grafica de la ecuación 2x-y=6

Answer 1

Respuesta:

2x - y = 6

6/2 = 3

x = 3

y = 3

Explicación paso a paso:

Solo eso se XD

Espero te sirva :'''v

Answer 2

Para hacer los cálculos de una mejor manera, despejamos "y"

                                                   $\sf{2x - y=6}\\\\\sf{ y=2x-6}$

Los valores con los que realizaremos nuestra tabla serán -4, -3, -2, -1, 0, 1, 2, 3, 4.

         $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = -4}}\\\\\sf{y=2x-6}\\\\\sf{y=2(-4)-6}\\\\\boxed{\sf{y=-14}}\end{array}$      $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = -3}}\\\\\sf{y=2x-6}\\\\\sf{y=2(-3)-6}\\\\\boxed{\sf{y=-12}}\end{array}$      $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = -2}}\\\\\sf{y=2x-6}\\\\\sf{y=2(-2)-6}\\\\\boxed{\sf{y=-10}}\end{array}$

         $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = -10}}\\\\\sf{y=2x-6}\\\\\sf{y=2(-10)-6}\\\\\boxed{\sf{y=-26}}\end{array}$      $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 1}}\\\\\sf{y=2x-6}\\\\\sf{y=2(1)-6}\\\\\boxed{\sf{y=-4}}\end{array}$      $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 2}}\\\\\sf{y=2x-6}\\\\\sf{y=2(2)-6}\\\\\boxed{\sf{y=-2}}\end{array}$

        $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 3}}\\\\\sf{y=2x-6}\\\\\sf{y=2(3)-6}\\\\\boxed{\sf{y=0}}\end{array}$      $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 4}}\\\\\sf{y=2x-6}\\\\\sf{y=2(4)-6}\\\\\boxed{\sf{y=2}}\end{array}$

Ordenamos los valores en una tabla

                                               $\begin{array}{c|c}\blue{\sf{x}}&\blue{\sf{y}}\\^{\rule{65 pt}{0.4pt}\hspace{-35pt}}\\\sf{-4}&\sf{-14}\\\sf{-3}&\sf{-12}\\\sf{-2}&\sf{-10}\\\sf{-10}&\sf{-26}\\\sf{1}&\sf{-4}\\\sf{2}&\sf{-2}\\\sf{3}&\sf{0}\\\sf{4}&\sf{2}\\\end{array}$

Procedemos a graficar nuestros resultados en un plano cartesiano(ver imagen).

                                            $\boxed{\sf{{R}}\quad\raisebox{10pt}{ \sf{\red{O}} }\!\!\!\!\raisebox{-10pt}{ \sf{\red{O}} }\quad\raisebox{15pt}{ \sf{{G}} }\!\!\!\!\raisebox{-15pt}{ \sf{{G}} }\quad\raisebox{15pt}{ \sf{\red{H}} }\!\!\!\!\raisebox{-15pt}{ \sf{\red{H}} }\quad\raisebox{10pt}{ \sf{{E}} }\!\!\!\!\raisebox{-10pt}{ \sf{{E}} }\quad\sf{\red{R}}}\hspace{-64.5pt}\rule{10pt}{.2ex}\:\rule{3pt}{1ex}\rule{3pt}{1.5ex}\rule{3pt}{2ex}\rule{3pt}{1.5ex}\rule{3pt}{1ex}\:\rule{10pt}{.2ex}$