First, we need to find the rate of change, which is the difference in y divided by the difference in x.
m = (25 - 22) / (8 - 2) = 3 / 6 = 0.5
So, the rate of change is 0.5.
Next, we need to find the initial value, which is the y-intercept when x = 0. To find the initial value, we can choose one of the points given in the table. Let's use the point (2, 22).
y = m*x + b
22 = 0.5*2 + b
22 = 1 + b
b = 21
So, the initial value is 21.
Therefore, the rate of change is 0.5 and the initial value is 21 for the linear function given by the table.
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 if change is m = ___, and the initial value is b =____
1 answer