tentukan persamaan garis dari koordinat ( 4, -2 ) dan ( 3, -5 )

Dik :
[tex]$\begin{align} (4, -2) & = (x_{1}, y_{1}) \\ (3,-5)& = (x_{2}, y_{2}) \end{align}[/tex]

#Rumus Menyusun PGL yang Melalui 2 Titik
[tex]\boxed{ \dfrac{y-y_{1}}{y_{2}-y_{1}} = \dfrac{x-x_{1}}{x_{2}-x_{1}}}[/tex]

Persamaan Garisnya adalah 
[tex]$\begin{align} \dfrac{y-y_{1}}{y_{2}-y_{1}} & = \dfrac{x-x_{1}}{x_{2}-x_{1}} \\ \dfrac{y-(-2)}{-5-(-2)} & = \dfrac{x-4}{3-4} \\ \dfrac{y+2}{-3} & = \dfrac{x-4}{-1} \\ -1(y+2) & = -3(x-4) \\ -y-2& = -3x+12 \\ -y& = -3x+12+2 \\ -y& =-3x+14 \; \leftrightarrow \text{(kalikan -1)} \\ y & = 3x-14 \end{align}[/tex]


Semoga Membantu ^_^