7. the graph below shows a scatter plot and its line of best fit. which represents the equation of the line of best fit and the best prediction of the value of y when x = 15? *

(1) Equation of best fit:
To get the equation of the line, we will need at least two points that belong to this line.
Taking a look at the graph provided, we will find that:
At x=0, y=4 > First point is (0,4)
At x=9, y=7 > Second point (9,7)
The general formula of the equation is:
y = mx + c
where m is the slope and c is the y intercept.
Slope (m) is calculated as follows:
m = (y2-y1) / (x2-x2) = (7-4) / (9-0) = 1/3
To get c, we will substitute with any point in the equation of line. I will work with the point (0,4) as follows:
y = mx + c
y = (1/3)x + c
4 = (1/3)(0) + c > c = 4
Based on the above calculations, the equation of the line of best fit is:
y = (1/3)x + 4

(2) Best prediction of the value of y when x=15:
To get the best prediction of the value of y when x is 15, substitute with the value of x in the equation of the best fit line and get the corresponding y as follows:
y = (1/3)x + 4
y = (1/3)(15) + 4
y = 9