To find the rate of change, we can use the formula for slope (m) in the equation of a linear function (y=mx+b).
First, calculate the change in y:
25 - 22 = 3
Next, calculate the change in x:
8 - 2 = 6
Now, divide the change in y by the change in x to find the rate of change:
m = 3/6 = 0.5
Therefore, the rate of change is m = 0.5.
To find the initial value (y-intercept or b), we can substitute one of the points into the equation. Let's use the point (2, 22):
22 = 0.5(2) + b
22 = 1 + b
b = 21
Therefore, the initial value is b = 21.
In conclusion, the rate of change is m = 0.5 and 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= .
1 answer
1 answer