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=
.
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=
.
To determine the rate of change, we need to find the slope of the linear function. We can use the formula for slope, which is:
m = (change in y) / (change in x)
In this case, let's use the points (2, 22) and (8, 25) to find the rate of change.
Using the formula:
m = (25 - 22) / (8 - 2)
m = 3 / 6
m = 1/2
So, the rate of change (slope) is 1/2.
To find the initial value (y-intercept), we can choose any point from the table. Let's use the point (2, 22).
The initial value (y-intercept) is the value of y when x is 0. In this case, it's 22.
So, the rate of change (m) is 1/2, and the initial value (b) is 22.