Question

escreva a forma geral, a reduzida e a segmentária da reta dada por x=2t-1 e y=2-3t.

Answer 1

Olá Shakira,

na primeira..

$\Large\boxed{\text{x=2t-1}}$

eq. geral da reta (ax+by+c=0)..

$x=2t-1\\\\ \boxed{x-2t-1=0}$


eq. reduzida (y=ax+b)..

$x=2t-1\\ 2t=x+1\\\\ t= \dfrac{x+1}{2}\\\\ \boxed{t= \dfrac{1}{2}x+ \dfrac{1}{2}}$


eq. segmentária  $\left( \dfrac{ax}{c}+ \dfrac{by}{c}= \dfrac{c}{c}\right)$ ..

$x=2t-1\\ x-2t=-1\\\\ \dfrac{x}{-1}- \dfrac{2t}{-1}= \dfrac{-1}{-1}\\\\\\ \boxed{-x+2t=1}$




na segunda..

$\Large\boxed{\text{y=2-3t}}$

eq. geral da reta:

$y=2-3t\\\\ \boxed{3t+y-2=0}$


eq. reduzida:

$y=2-3t\\\\ \boxed{y=-3t+2}$


eq. segmentária:

$y=2-3t\\ 3t+y=2\\\\ \dfrac{3t}{2}+ \dfrac{y}{2}= \dfrac{2}{2}\\\\ \boxed{\dfrac{3}{2}t+ \dfrac{1}{2}y=1}$

Espero ter ajudado vc e tenha ótimos estudos ;D