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The equation of the line is:

Step-by-step explanation:

Given the table

x             y

0            0

1             3

2            6

3            9

4            12

The slope-intercept form of the line equation

where

Taking the two points from the table

Determining the slope between (1, 3) and (2, 6)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 3] / [2 - 1]

               = 3 / 1  

               = 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

now substituting m = 3 and b = 0 in the slope-intercept form of the line equation

y = mx + b

y = 3x + 0

y = 3x

Therefore, the equation of the line is:

The graph of the line equation y = 3x is also attached.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

answer: check all that apply, where the options?

step-by-step explanation: