Given the information on the picture, we can use the point (1/2, 4/5) and the slope m = 1/4 to find the equation of the line:
[tex]\begin{gathered} (y-y_0)=m(x-x_0) \\ \Rightarrow y-\frac{4}{5}=\frac{1}{4}(x-\frac{1}{2})=\frac{1}{4}x-\frac{1}{8} \\ \Rightarrow y=\frac{1}{4}x-\frac{1}{8}+\frac{4}{5}=\frac{1}{4}x+\frac{27}{40} \\ y=\frac{1}{4}x+\frac{27}{40} \end{gathered}[/tex]
therefore, the equation of the line in slope intercept form is y = x/4 +27/40
