Question

what could be a possible equation for a line of best fit for this scatterplot

Answer 1

Step 1

The equation of a line in slope-intercept form is given as;

$\begin{gathered} y=mx+c \\ m=slope \\ c=y-intercept \end{gathered}$

Considering the scatter plot of the graph it has a negative relationship as seen in the image.

This means that the slope of the graph is negative.

We, therefore, rule out all options with positive slopes such as;

$y=x-2\text{ and y=x+2}$

Step 2

The scatterplot does not fall around the origin or below it, they rather shift up above zero.

Therefore the equation which could be a possible line of best fit for the scatterplot is;

$y=-x+2$

Answer;

$\begin{gathered} y=-x+2 \\ The\text{ scatterplot should have a positive intercept and is above the origin hence the answer} \end{gathered}$