Question

payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. the table shows his data. practice makes better which is the approximate slope of the line of best fit for the data? -5.5 -4.5 -2.0 -1.0

Explanation:

Step1: Select two points

Let's choose \((1,36)\) and \((8,5)\)

Step2: Use slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)
Here \(x_1 = 1,y_1=36,x_2 = 8,y_2 = 5\)
\(m=\frac{5 - 36}{8 - 1}=\frac{-31}{7}\approx - 4.43\approx-4.5\)

Answer:

\(-4.5\)