Respuesta :

altavistard
Take any 2 points and find the slope of the line connecting them:

1 9
3 8
                            9-8          1
slope m is   m = ------- = -------- = -1/2
                            1-3          -2
carlosego
Since the data represented by the table are linear, then the average rate of change is given by the slope of the line.
 We have then:
 [tex] m = (y2-y1) / (x2-x1) [/tex]
 Substituting values we have:
 [tex] m = (9-10) / (1 - (- 1)) [/tex]
 Rewriting we have:
 [tex] m = (-1) / (1 + 1) m = -1/2[/tex]
 Answer:
 The average rate of change is given by:
 A) -1/2