Answer:
<em>y = 3x + 5</em>
Step-by-step explanation:
y = mx + b (slope-intercept form)
(
,
)
(
,
)
Slope m =
y -
= m( x -
) (point-slope form of linear equation)
~~~~~~~~~~~~~~~
Using it's concept, the standard deviation of the data is of 3.742.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.
For this data-set, the mean is:
M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.
Hence the standard deviation is:

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602
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= 
The 2 right triangles are similar and so the ratios of corresponding sides are equal
The corresponding sides are x and 2, 6 and 1.5, hence
= 