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The line of best fit for a scatter plot is shown below:

A scatter plot and line of best fit are shown. Data points are located at 0 and 1, 2 and 1, 2 and 3, 4 and 3, 4 and 5, 6 and 3, 7 and 5, 9 and 4. A line of best fit passes through the y-axis at 1 and through the point 4 and 3.

What is the equation of this line of best fit in slope-intercept form?

y = 1x + one half
y = one halfx + 1
y = 1x − one half
y = negative one halfx + 1

Respuesta :

carlosego
For this case we have that the trend line goes through the following points:
 "A line of best fit passes through the y-axis at 1 and through the point 4 and 3"
 That is, it goes through:
 (0, 1)
 (4, 3)
 The equation of the line is:
[tex] y = mx + b [/tex] 
 Where,
[tex] b = 1 [/tex] 
 The slope is:
 [tex]m = (y2-y1) / (x2-x1) m = (3-1) / (4-0) m = (2) / (4) m = 1/2[/tex]
 Substituting values:
[tex] y = (1/2) x + 1 [/tex]
  Answer:
 The equation of this line of best fit in slope-intercept form is:
 y = one halfx + 1

Answer:

The equation of this line of best fit in slope-intercept form is:

 y = one halfx + 1

Step-by-step explanation:

For this case we have that the trend line goes through the following points:

 "A line of best fit passes through the y-axis at 1 and through the point 4 and 3"

 That is, it goes through:

 (0, 1)

 (4, 3)

 The equation of the line is:

 

 Where,

 

 The slope is:

 

 Substituting values:

 Answer:

 The equation of this line of best fit in slope-intercept form is:

 y = one halfx + 1

the answer above is correct

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