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=
The rate of change can be calculated by finding the difference in the y-values over the difference in the x-values:
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (-3 - 1)
m = 4 / -4
m = -1
Therefore, the rate of change is -1.
To find the initial value, we can use the point (1,4) from the table:
y = mx + b
4 = -1(1) + b
4 = -1 + b
b = 5
Therefore, the initial value is 5.