Question

escreva a equação da reta r que passa pelo ponto (1,4) e é paralela a reta s:2x-7y+1=0​

Answer 1

$\large\boxed{\begin{array}{l}\rm s:2x-7y+1=0\longrightarrow m_s=-\dfrac{2}{-7}=\dfrac{2}{7}\\\\\rm r\parallel s\iff m_r=m_s\\\rm m_r=\dfrac{2}{7}\\\\\rm y= y_0+m(x-x_0)\\\rm y=4+\dfrac{2}{7}(x-1)\\\\\rm y=4+\dfrac{2}{7}x-\dfrac{2}{7}\bullet(7)\\\\\rm 7y=28+2x-2\\\rm 2x-7y+26=0\end{array}}$