Answer:
Slope: [tex]-\dfrac{1}{2}[/tex]
Equation: [tex]y=-\dfrac{1}{2}x+8[/tex]
Step-by-step explanation:
The line of the best fit passes through the points (0,8) and (4,6).
If the line passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] then the slope of the line is
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Hence, the slope of the line of the best fit is
[tex]\dfrac{6-8}{4-0}=\dfrac{-2}{4}=-\dfrac{1}{2}[/tex]
The equation of the line is
[tex]y=mx+b,[/tex]
where m is the slope and b is y-intercept, so the equation of the line of the best fit is
[tex]y=-\dfrac{1}{2}x+8[/tex]
