Question

A equação da reta paralela a reta abaixo e passa pelo ponto P(1; 5) é:

a) 2x + y + 3 = 0

b) 2x + y - 3 = 0 c) 2x - y - 3 = 0

d) 2x - y + 3 = 0​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf c\acute alculo\,do\,coeficiente\,angular\!:}\\\rm A(2,1)~~B(3,3)\\\rm m=\dfrac{y_B-y_A}{x_B-x_A}\\\\\rm m=\dfrac{3-1}{3-2}=\dfrac{2}{1}=2\\\underline{\sf Equac_{\!\!.}\tilde ao\,da\,reta\,que\,passa}\\\underline{\sf por\,P(1,5)\,e\,tem\,coeficiente\,angular\,m.}\\\rm y=5+2(x-1)\\\rm y=5+2x-2\\\rm y=2x+3\\\sf escrevendo\,a\,equac_{\!\!,}\tilde ao\,na\,forma\,geral:\\\rm 2x-y+3=0\longrightarrow alternativa\,\bf d\end{array}}$