Question

which is most likely the equation of the line of best fit for the set of data points? A. y=2x+9 B. y= -2x+9. C. y= 1/2 x +9 . D. y= - 1/2x +9

Answer 1

D. y= - 1/2x +9

Step-by-step explanation:

In the graph, a line of best fit is drawn as shown below:

Using the points (8,5) and (6,6)

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(5-6)/(8-6) \\ =-(1)/(2) \end{gathered}`

The y-intercept of the line = 9.

Therefore, the equation of the line of best fit for the set of data points is:

`y=-(1)/(2)x+9`