Question

P84 calcule os coeficientes angulares das retas :a) 3x+5y-7=0 b) 4x+2y+1=0 C) 3x+y+11=0
D) 3x+5y=0
E)5x+5y+3=0
F)3x-3y+4=0​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Coeficiente~angular~a~partir}\\\underline{\rm da~equac_{\!\!,}\tilde ao~geral~da~reta}\\\sf Dada~a~reta~r:~ax+by+c=0\\\sf o~coeficiente~angular~\acute e~dado~por\\\sf m=-\dfrac{a}{b}\end{array}}$

$\large\boxed{\begin{array}{l}\tt a)~\sf 3x+5y-7=0\\\sf m=-\dfrac{3}{5}\\\\\tt b)~\sf 4x+2y+1=0\\\sf m=-\dfrac{4}{2}=-2\\\\\tt c)~\sf 3x+y+11=0\\\sf m=-\dfrac{3}{1}=-3\\\\\tt d)~\sf 3x+5y=0\\\sf m=-\dfrac{3}{5}\\\\\tt e)~\sf 5x+5y+3=0\\\sf m=-\dfrac{5}{5}=-1\\\\\tt f)~\sf 3x-3y+4=0\\\sf m=-\dfrac{3}{-3}=1\end{array}}$