The y-intercept (where x=0) of the equation is -4.
For every 4 the x runs, y rises by 1. Use rise over run to determine the slope.
[tex] \frac{1}{4} [/tex]
Using slope-intercept form, the equation becomes:
[tex]y = \frac{1}{4}x - 4 [/tex]
The answer you supplied is correct.