The rate of change can be found by taking the difference in the y-values divided by the difference in the x-values.
rate of change = (change in y) / (change in x)
rate of change = (8 - 4) / (-3 - 1) = 4 / -4 = -1
The initial value can be found by substituting one of the x-values and y-values into the equation y = mx + b, where m is the rate of change and b is the initial value.
Using the point (1,4):
4 = -1(1) + b
4 = -1 + b
b = 5
Therefore, the rate of change of the linear function is -1 and 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)
1 answer