We can observe that the function describing the graph is linear and so the equation is of linear nature:
[tex]y=mx+n[/tex]
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]
Now our line has an equation,
[tex]y=\frac{6}{5}x-1[/tex]
Hope this helps.
