Respuesta :

Answer:

[tex]y=-3x+6[/tex]

Step-by-step explanation:

Equation of line passing through two points:

[tex]Equation\ of\ line\ passing\ through\ two\ points\ (x_1,y_1)\ and\ (x_2,y_2)\\\\(y-y_1)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)\\\\(x_1,y_1)=(0,6)\\\\(x_2,y_2)=(2,0)\\\\(y-6)=\frac{(0-6)}{(2-0)}(x-0)\\\\y-6=\frac{-6}{2}(x-0)\\\\y-6=-3(x-0)\\\\y-6=-3x\\\\y=-3x+6[/tex]