Question

George is drafting his dissertation paper for his doctoral program. The graph below shows the line of best fit for the data recorded on the number of pages of the dissertation written as a function of the number of hours George spends on the draft each week. Select the question for the line of the best fit shown

Answer 1

Divides simple fractions whok numbers by a. fraction and vice versa directions find the quotient show your solution

Answer 2

The equation of the line is;

`y=(2)/(3)x+4`

Step-by-step explanation:

The equation of the line of best fit can be written in the slope intercept form;

`y=mx+b`

Where:

m = slope

b = y-intercept

From the graph the intercept on the y axis is at y=4, so;

`b=4`

We now need to calculate slope of the line by picking two points on the line and substituting the coordinates into the slope formula;

`\begin{gathered} m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ m=(8-4)/(6-0) \\ m=(4)/(6) \\ m=(2)/(3) \end{gathered}`

Therefore, substituting the value of the slope and the intercept we will have the equation of the line as;

`y=(2)/(3)x+4`