Question

Determine o coeficiente angular e linear da reta que passa pelos pontos A(3, 1) e B(-1, 5).

Answer 1

a= ∆y/∆x

a=(5-1)/(-1-3)

a=4/-4= -1

Coeficiente angular=-1

y=ax+b

-1.(3)+b=1

-3+b=1

b=1+3= 4

Coeficiente linear= 4

Answer 2

$\Large\displaystyle\text{ \begin{gathered} \sf{ m=\frac{(y_2-y_1)}{(x_2-x_1)}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{m=\dfrac{(5-1)}{(-1-3)} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{m=-\dfrac{4}{4} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered}\boxed{ \sf{m=-1 } }\end{gathered} }$