Use the table to answer the question. x: 1 ,−3 y: 4 ,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=

Answer 1

To find the rate of change, we need to find the difference in the y-values divided by the difference in the x-values.

The difference in the y-values is 8 - 4 = 4
The difference in the x-values is -3 - 1 = -4

So, the rate of change is 4 / -4 = -1.

To find the initial value, we can pick any of the points and substitute it into the equation y = mx + b, where m is the rate of change and x is the value of x for that point.

Let's choose the point (1, 4)

4 = -1(1) + b
4 = -1 + b
b = 5

Therefore, the initial value is b = 5.