Give the equation of the line passing through the point (2,2) that is parallel to y=2x+7.

y=2x-2

Step-by-step explanation:

Parallel means it will have the same slope (m), which is 2 (the slope is the number in front of the x).

Then use your coordinate (2,2) to create the equation along with putting the slope of 2:

y=mx+b (you need the b value since you already have the m value)

2=2(2)+b

2=4+b; (subtract the 4 from both sides to isolate the b)

-2=b

y=2x-2

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.