Answer:
C. [tex]y=\frac{5}{7}x+2[/tex].
Step-by-step explanation:
We have been given a scatter plot. We are asked to find the equation of line of best fit.
First of all, we will find slope of line of best fit using points [tex](0,2)[/tex] and [tex](7,7)[/tex].
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{7-2}{7-0}[/tex]
[tex]m=\frac{5}{7}[/tex]
We can see that y-intercept of line of best fit is 2.
We will write our equation in slope intercept form [tex]y=mx+b[/tex], where,
m = Slope,
b = The y-intercept.
Upon substituting [tex]m=\frac{5}{7}[/tex] and [tex]b=2[/tex] in slope-intercept form, we will get:
[tex]y=\frac{5}{7}x+2[/tex]
Therefore, the equation of line of best fit for given scatter plot is [tex]y=\frac{5}{7}x+2[/tex] and option C is the correct choice.
