the data points on the scatter plot below show the amount of time spent watching television and the amount…

Explanation:

Step1: Identify trend direction

Observe that as television time (x-axis) increases, homework time (y-axis) decreases, so the line will have a negative slope.

Step2: Balance data points

Approximate a line that splits the data roughly in half, with about equal points above and below the line. A good approximation would pass through points like (2, 20) and (10, 8).

Step3: Define line equation

Calculate the slope: $m=\frac{8-20}{10-2}=\frac{-12}{8}=-1.5$ Use point-slope form with (2,20): $y-20=-1.5(x-2)$ Simplify to slope-intercept: $y=-1.5x+23$

Answer:

A line with a negative slope, approximately following the equation $y = -1.5x + 23$, that balances the scatter of data points (with roughly half the points above and half below the line) is the best approximate line of best fit. When drawing, this line would start near (0, 23) on the y-axis and slope down to cross near (15.3, 0) on the x-axis, passing through the middle of the plotted data points.