Question

O coeficiente angular da reta que passam pelos pontos A(-1,4) e B(3,2) é:
a)-1/2
b)2/3
c)-5/7
d)1/5
e)7/2

Answer 1

$Ola'~~~\mathbb{LU} \\ \\temos:~\boxed{m= \frac{y_2-y_1}{x_2-x_1}}~,onde~''m''~e'~coeficiente~angular \\ \\ Nos~pontos:A(-1,4)~~e~~B(3,2)\\ \\ Sabemos~que:\begin{cases}x_1=-1 \\ x_2=3 \\ y_1=4 \\ y_2=2\end{cases} \\ \\ Substituindo~temos~''m'' \\ \\ m= \frac{2-4}{3-(-1)} \\ \\ m= \frac{-2}{4} \\ \\ \boxed{\boxed{m= -\frac{1}{2} }}~----\ \textgreater \ \textcircled{a}$

$\\ \mathbb{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx} \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Espero~ter~ajudado!!$