Which of the following functions has the steepest slope?
a. y=-3x-6
b. y=c+6
c. y=6x-9
d. y=2x+12

Your options are all in the slope intercept format
which is
y = mx + b
where m is the slope

so for
A, your slope is -3
B, slope is 1 (?) [you made a typo]
C, slope if 6
D, slope is 2

the biggest number here is 6
therefore C has your steepest slope

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)