Calculate the rate of change over the interval of -10 < x < -6 of the graph.

The rate of change over the interval of -10 < x < -6 of the graph is 2

Step-by-step explanation:

In the given figure:

The relation between x and y over the interval of -10 < x < -6, represented by a line, then the rate of change over this interval is the slope of the line

∵ The line passes through points (-10, -6) and (-6, 2)

∴ x1 = -10 and y1 = -6

∴ x2 = -6 and y = 2

→ Substitute them in the rule of the slope above

∴

∴ The slope of the line = 2

∵ The rate of change = the slope of the line

∴ The rate of change over the interval of -10 < x < -6 of the graph is 2

irrational, cannot