Question

a line passes through point (-1,-6) and has a slope of -6.

write an equation for this line

Answer 1

because it has a slope of -6, you can use slope-intercept form to write it:
y=-6x+b
In this case, b is still unknown, so in order to find it, you have to plug in the x and y values of the point given (-1,-6). Thereofre:

-6=-6(-1)+b
-6=6+b
Therefore, b=-12.
So your equation would be

y=-6x-12