The rate of change can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
m = (25 - 22) / (8 - 2)
m = 3 / 6
m = 0.5
So, the rate of change is m=0.5.
To find the initial value, we can use the point-slope form of a linear equation:
y = mx + b
Using one of the points given (8, 25) and the rate of change we just found (m=0.5):
25 = 0.5(8) + b
25 = 4 + b
b = 21
So, the initial value is b=21.
Use the table to answer the question.
x y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values. (1 point)
The rate of change is m=, and the initial value is b=
.
3 answers
The rate of change is m= , and the initial value is b=.
The rate of change is m=0.5, and the initial value is b=21.