Given:
There is a graph given
Required:
We need to find that which option is the function of graph
Explanation:
Here by the graph we can say that
[tex]\begin{gathered} (x_1,y_1)=(3,0) \\ (x_2,y_2)=(6,1) \end{gathered}[/tex]
First of all we need to find the slope m of graph
[tex]m=\frac{(y_2-y_1)}{(x_2-x_1)}=\frac{1-0}{6-3}=\frac{1}{3}[/tex]
now the equation of line is
[tex]\begin{gathered} m=\frac{y-0}{x-3} \\ \\ \frac{1}{3}=\frac{y}{x-3} \\ \\ \frac{x-3}{3}=y \end{gathered}[/tex]
Final answer:
[tex]y=\frac{x-3}{3}=\frac{x}{3}-\frac{3}{3}=\frac{x}{3}-1[/tex][tex]y=\frac{x}{3}-1[/tex]
