What equation is represented by the equation on the graph ?

Answer: The correct option is D.
Explanation:
From the graph we noticed that the x intercept of the line is (2,0) and the y-intercept is (0,2).
If the line passing through two points then the equation of line is,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Since the ien passing through (2,0) and (0,2).
[tex]y-0=\frac{2-0}{0-2}(x-2)[/tex]
[tex]y=-1(x-2)[/tex]
[tex]y=-x+2[/tex]
This equation is represented by option D, therefore the option D is correct.