Question

passe a equação da reta para a forma indicada:? a) x/3 + y/2 =1, para a forma reduzida b) y - 6 = 1/2(x + 4), para a forma geral c) 3x + 9y - 36 = 0, para a forma segmentária d) {x = 3 - t {y = t + 2 para a forma geral

Answer 1

$\boxed{\begin{array}{l}\rm a)~\sf\dfrac{x}{3}+\dfrac{y}{2}=1\cdot2\\\sf\dfrac{2}{3}x+y=2\\\sf y=2-\dfrac{2}{3}x\\\rm b)~\sf y-6=\dfrac{1}{2}(x+4)\cdot2\\\sf 2y-12=x+4\\\sf x-2y+4+12=0\\\sf x-2y+16=0\\\rm c)~\sf 3x+9y-36=0\div36\\\sf\dfrac{3}{36}x+\dfrac{9}{36}y-1=0\\\sf\dfrac{x} {12}+\dfrac{y}{4}=1\\\rm d)~\begin{cases}\sf x=3-t\\\sf y=t+2\end{cases}\\\sf t=x-3\\\sf t=y-2\\\sf x-3=y-2\\\sf x-y-3+2=0\\\sf x-y-1=0\end{array}}$