payton collected data to show the relationship between the number of hours he practices and the number of…

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\n| number of hours | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |\n| number of errors | 36 | 34 | 30 | 31 | 23 | 16 | 11 | 5 |\nwhich is the approximate slope of the line of best fit for the data?\n-5.5\n-4.5\n-2.0\n-1.0

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\n| number of hours | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |\n| number of errors | 36 | 34 | 30 | 31 | 23 | 16 | 11 | 5 |\nwhich is the approximate slope of the line of best fit for the data?\n-5.5\n-4.5\n-2.0\n-1.0

Answer

Answer:

-4.5

Explanation:

Step1: Identificar los puntos

Tomamos los puntos $(x_1,y_1)=(1,36)$ y $(x_2,y_2)=(8,5)$.

Step2: Aplicar la fórmula de la pendiente

La fórmula de la pendiente $m$ es $m=\frac{y_2 - y_1}{x_2 - x_1}$. Sustituyendo los valores: $m=\frac{5 - 36}{8 - 1}=\frac{- 31}{7}\approx - 4.57\approx - 4.5$.