The required equation that represents the line of best fit is y = 2x + 4
Finding the equation of a line of best fit.
A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
From the given scatters plot, we only need to choose two points that aligns properly and create an equation of a line using the coordinates.
Using the following points (4, 12) and (2, 8)
The equation of the line will be in the form y = mx + b
where
m is the slope
b is the y-intercept
Determine the slope
Slope = y2-y1/x2-x1
Slope = 8-12/2-4
Sope = -4/-2
Slope = 2
Determine the y-intercept
Using the coordinate point (2, 8) and m = 2
8 = 2(2) + b
b = 8 - 4
b = 4
Hence the required equation that represents the line of best fit is y = 2x + 4
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