Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
y = [1]x + [-5 ]
Step-by-step explanation:
the equation is : y = ax+b
the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )
the line that passes through (3, -2) : -2 = (3)+b
b = -5
the equation is : y = x-5
No solution is the answer. 0=0 is no solution