Question

1 – Determine em cada caso, usar y-yo=m(x-xo)
a)O coeficiente angular da reta;
b)A equação geral da reta;
c)A equação reduzida da reta;

I – A(-1, 4) e B(3, 2)
II – A(4, 3) e B(-2, 3)

Answer 1

| A(-1,4) B(3,2)

$\mathsf{m=\dfrac{2-4}{3-(-1)}}\\\mathsf{m=\dfrac{-2}{3+1}=-\dfrac{2\div2}{4\div2}}\\\mathsf{m=-\dfrac{1}{2}}$

$\mathsf{y=2-\dfrac{1}{2}(x-3)}\\\mathsf{y=2-\dfrac{1}{2}x+\dfrac{3}{2}}\\\mathsf{y=\dfrac{4-x+3}{2}}\\\mathsf{y=\dfrac{7-x}{2}}$

equação geral:

$\mathsf{x+2y-7=0}$

II

A(4,3) B(-2,3)

$\mathsf{m=\dfrac{3-3}{-2-4}=0}$

$\mathsf{y=y_{0}+m(x-x_{0})}\\\mathsf{y=3}$

Equação geral:

$\mathsf{y-3=0}$