Recall that an equation in slope-intercept form is as follows:
[tex]y=mx+b,[/tex]where m is the slope of the line, and (0,b) is the y-intercept.
Substituting m=-6, and b=-1/2 we get:
[tex]y=-6x+(-\frac{1}{2})\text{.}[/tex]Simplifying the above result we get:
[tex]y=-6x-\frac{1}{2}\text{.}[/tex]Answer:
[tex]y=-6x-\frac{1}{2}\text{.}[/tex]