Question

2ª) Questão Determinar a equação segmentária da reta r que passa pelos pontos P(2,3) e Q(3,4).​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm C\acute alculo\,do\,coeficiente\,angular:}\\\sf m=\dfrac{y_Q-y_P}{x_Q-x_P}\\\\\sf m=\dfrac{4-3}{3-2}\\\\\sf m=\dfrac{1}{2}\\\sf y=y_p+m(x-x_p)\\\\\sf y=3+\dfrac{1}{2}(x-2)\\\\\sf y=3+\dfrac{1}{2}x-1\\\\\sf y=2+\dfrac{1}{2}x\bullet(2)\\\sf2y=4+x\\\sf x-2y-4=0\\\sf x-2y=4\\\sf dividindo\,tudo\,por\,4\,temos:\\\\\sf\dfrac{x}{4}-\dfrac{y}{2}=1(equac_{\!\!,}\tilde ao\,segment\acute aria\,da\,reta)\end{array}}$