The following line passes through point (−4,−1): y=6/11x+b What is the value of the y-intercept b?

The equation is:  y  =  (6/11)x + b  You know that  x = -4  and  y = -1 so enter those values:

                        -1  =  (6/11)(-4) + b

                        -1  =  -24/11 + b

Then, solve for  b  by adding 24/11 to both sides.