Question

Observe a equação no quadro abaixo. 4x+2y=12 Qual representação gráfica corresponde à equação apres

entada?

Answer 1

$\large\boxed{\begin{array}{l}\sf 4x+2y=12\\\sf simplificando\,tudo\,por\,2\\\sf 4x+2y=12\div(2)\\\sf 2x+y=6\\\sf y=6-2x\\\sf trata-se\,de\,uma\,reta.\\\sf Vamos\,encontrar\,a\,intersecc_{\!\!,}\tilde ao\,com\\\sf os\,eixos\,x\,e\,y.\\\underline{\rm intersecc_{\!\!,}\tilde ao\,com\,o\,eixo\,x:}\\\sf basta\,fazer\,y=0.\\\sf 6-2x=0\\\sf 2x=6\\\sf x=\dfrac{6}{2}\\\\\sf x=3\implies A(3,0)\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\rm intersecc_{\!\!,}\tilde ao\,com\,o\,eixo\,y:}\\\sf basta\,fazer\,x=0.\\\sf y=6-2\cdot0\\\sf y=6\implies B(0,6)\\\sf A\,representac_{\!\!,}\tilde ao\,est\acute a\,no\,anexo.\end{array}}$