Răspuns:
[tex]\boldsymbol{ \red{x-2y+9= 0}}[/tex]
Explicație pas cu pas:
Ecuația dreptei AB unde A(3,6), B (-1,4)
[tex]x_{A} = 3,y_{A} = 6; x_{B} = -1,y_{B} = 4[/tex]
Formula
[tex]\boldsymbol{ \dfrac{y - y_{A}}{y_{B} - y_{A}} = \dfrac{x - x_{A}}{x_{B} - x_{A}}}[/tex]
[tex]\Rightarrow \dfrac{y - 6}{4 - 6} = \dfrac{x - 3}{-1 - 3} \Rightarrow \dfrac{y - 6}{-2} = \dfrac{x - 3}{-4} \Rightarrow-4(y-6) = -2(x-3)\\[/tex]
[tex]\Rightarrow \boldsymbol{x-2y+9= 0}[/tex]
