Respuesta :

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

Step-by-step explanation:

The equation of a line (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

From the given graph , the line is passing through (2,2) and (0,6) is given by :_

[tex](y-6)=\dfrac{6-0}{0-2}(x-0)\\\\\Rightarrow\ y-6=\dfrca{6}{-2}x\\\\\Rightarrow\ y=-3x+6[/tex]

Hence, the equation of the graph : [tex]y=-3x+6[/tex]