Question

Determine o tangente do ângulo formado pelas retas r: 6x+2y-26 =0 e s: 15x-5y+2=0

Answer 1

$Resolu\c{c}\~ao\to \left\{\begin{array}{ccc} tg \ \theta= |\frac{m_s-m_r }{1+m_s*m_r}|\\\\tg\ \theta = | \frac{-3-(3)}{1+(-3)*3}| \\\\tg\ \theta = | \frac{-6}{-8}| \\\\\boxed{\boxed{tg\ \theta = \frac{6}{8} = \frac{3}{4} }} \end{array}\right$

Espero ter ajudado. :))