Find the slope of a line through the points (0,0) and (2, 9). Round your answer to 1 decimal place.
SLope = y2-y1 / x2-x1

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

So, the slope of the line is 4.5.

21

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.