Question

The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time.Which of the following is the equation of the line of best fit? A. 50/3xB.5/3xC.20/3xD.2/3x

Answer 1

A line equation can be written in slope-intercept form, whih is

`y=mx+b`

where m represents the slope and b represents the y-intercept.

Since our line passes through the origin, we already know that b = 0. To find the slope of our line, we can evaluate any of the points that belongs to our line on the slope-intercept form then solve it for m. The point (12, 200) for example belongs to our line. Evaluating this point on the form, we have:

`\begin{gathered} (200)=m(12)+(0) \\ 200=12m \\ m=(200)/(12) \\ m=(50)/(3) \end{gathered}`

therefore, our line equation is

`y=(50)/(3)x`

The correct answer is option A.