Respuesta :

The slope interference form of straight line is given by

[tex]y=mx+c[/tex]

Here is the slope of the line and c is the y-intercept

Now, from the graph, it is seen that the line passes through the points (0,4) and (3,5)

So,

[tex]\begin{gathered} \frac{y-4}{5-4}=\frac{x-0}{3-0} \\ \frac{y-4}{1}=\frac{x}{3} \\ 3(y-4)=x \\ 3y=x+12 \\ y=\frac{x}{3}+4 \end{gathered}[/tex]

So, the required equation is

[tex]y=\frac{x}{3}+4[/tex]