So to find the slope, its "rise over run" aka [tex] \frac{y_{2}-y_1}{x_2-x_1} [/tex]
To find it, take two points on the graph, in this case I'll use (0,1) and (5,4). Just place them into the equation and solve.
[tex]\frac{4-1}{5-0} \\ \\ \frac{3}{5} [/tex]
In short, 3/5 is the slope.