Question

Use technology to find the line of best fit for the following data. (−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6) When the equation of the line is in the form y=mx+b, what is the value of b?Enter your answer as a decimal, like this: 42.25Click on the following link to use the GeoGebra graphing calculator.

Answer 1

Given:

Line pass the point

(−17,8), (−14,7), (−11,6), (−12,4), (−10,1), (−7,3), (−3,2), (−3,0), (−2,−4), (0,−2), (2,−3), (6,−5), (4,−6)

Find-:

Value of "b"

Step-by-step explanation:

Check for number

General equation of ls:

`y=mx+c`

Where m is:

`m=(y_2-y_1)/(x_2-x_1)`

Take any two points is:

`(-17,8),(-14,)\text{ is}`

Slope is:

`\begin{gathered} m=(7-8)/(-14-(-17)) \\ \\ m=-(1)/(3) \end{gathered}`
`\begin{gathered} y=-(1)/(3) \\ \\ y=-(1)/(3)x+b \\ \\ (x,y)=-14,7_ \\ \\ 7=-((1)/(3))-14+b \\ \\ 7=(14)/(3)+n \\ \\ b=7-(14)/(3) \\ \\ b=(7)/(3) \end{gathered}`

Value of b is 7/3