Question

P83 calcule o coeficiente angular da reta AB nos casos :
A=(-5,4) e B=(1, 10)
B)A=(1,5) e B=(6, 0)
C)A=(1,1) e B(5,7)
D)A=(0,0) e B=(1, V3)
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Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm D~\!\!efinic_{\!\!,}\tilde ao~de~coeficiente~angular}\\\underline{\rm Em~func_{\!\!,}\tilde ao~dos~pontos}\\\underline{\rm A(x_A,y_A)~B(x_B,y_B)}\\\sf m=\dfrac{y_B-y_A}{x_B-x_A}\end{array}}$

$\Large\boxed{\begin{array}{l}\tt a)~\sf m=\dfrac{10-4}{1-(-5)}=\dfrac{6}{1+5}=\dfrac{6}{6}=1\\\\\tt b)~\sf m=\dfrac{0-5}{6-1}=\dfrac{-5}{5}=-1\\\\\tt c)~\sf m=\dfrac{7-1}{5-1}=\dfrac{6}{4}=\dfrac{3}{2}\\\\\tt d)~\sf m=\dfrac{\sqrt{3}-0}{1-0}=\dfrac{\sqrt{3}}{1}=\sqrt{3}\end{array}}$