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"

Explanation:

Check for number

General equation of ls:

$y=mx+c$

Where m is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Take any two points is:

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

Slope is:

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

Value of b is 7/3