A relation is plotted as a linear function on the coordinate plane starting at point e (0, 27)(0, 27) and ending at point f (5,−8)(5,−8) . what is the rate of c
Mathematics
KcdavSpragy
Question
A relation is plotted as a linear function on the coordinate plane starting at point e (0, 27)(0, 27) and ending at point f (5,−8)(5,−8) . what is the rate of change for the linear function and what is its initial value? select from the dropdown menus to correctly complete the statements. the rate of change for the linear function is
2 Answer

1. User Answers MissPhiladelphia
The rate of change of a linear function is equal to the slope of the function, Slope, m = ( y1 – y2) / (x1 – x2)
M = ( 27 – ( 8)) / ( 0 – 5)
M = 7
At ( 0, 27)
27 = 0(7) + b
B = 27 So the initial value ( 0, 27) 
2. User Answers erinna
Answer:
Rate of change = 7
Initial value = 27
Stepbystep explanation:
It is given that a linear function starting at point e(0, 27) and ending at point f(5,−8).
We need to find the rate of change for the linear function and its initial value.
If a linear function passes through two points then the rate of change is
[tex]m=\dfrac{y_2y_1}{x_2x_1}[/tex]
[tex]m=\dfrac{827}{50}[/tex]
[tex]m=\dfrac{35}{5}[/tex]
[tex]m=7[/tex]
The rate of change for the linear function is 7.
The initial value of a function is its yintercept, where x=0.
From the given points it is clear that the value of function is 27 at x=0.
Therefore, the initial value is 27.