Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to
where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have
so
therefore
The average rate of change is -2
Answer:
y < x + 5
Step-by-step explanation:
Determine the equation of the broken line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5)
m = =
= 1
note the line crosses the y- axis at (0, 5) ⇒ c = 5
y = x + 5 ← equation of broken line
Thus y < x + 5 is the inequality for the graph