To find the rate of change, we use the formula:
m = (change in y) / (change in x)
m = (8 - 4) / (-3 - 1)
m = 4 / -4
m = -1
So, the rate of change is -1.
To find the initial value, we can use the point (1, 4) from the table. We know the equation of a line is y = mx + b, where m is the rate of change and b is the initial value. Plugging in the values we know:
4 = (-1)(1) + b
4 = -1 + b
b = 5
So, the initial value is 5.
Use the table to answer the question.
x y
1 4
−3 8
Find the rate of change and the initial value of the linear function given as a table of values.
(1 point)
The rate of change is m=
, and the initial value is b=
.
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