Answer:
The equation of the line is;
[tex]y=\frac{2}{3}x+4[/tex]
Explanation:
The equation of the line of best fit can be written in the slope intercept form;
[tex]y=mx+b[/tex]
Where:
m = slope
b = y-intercept
From the graph the intercept on the y axis is at y=4, so;
[tex]b=4[/tex]
We now need to calculate slope of the line by picking two points on the line and substituting the coordinates into the slope formula;
[tex]\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{8-4}{6-0} \\ m=\frac{4}{6} \\ m=\frac{2}{3} \end{gathered}[/tex]
Therefore, substituting the value of the slope and the intercept we will have the equation of the line as;
[tex]y=\frac{2}{3}x+4[/tex]
