What is the equation of the line that passes through the point (6,-4) and has a
slope of - 1/6?

y=(-1/6)x -3

Step-by-step explanation:

y=(-1/6)x + b, plug in (6,-4) to solve for b

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

b = -4 + 1 = -3

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.