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=.

Answer 1

To find the rate of change, we can use the formula:

m = (change in y) / (change in x)

From the table, we can see that the change in y is 8 - 4 = 4 and the change in x is -3 - 1 = -4.

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

To find the initial value, we can use the point (1, 4) from the table.

We know that the equation of a linear function is y = mx + b, where m is the rate of change and b is the initial value.

Plugging in the values, we have 4 = -1(1) + b.

Simplifying, we get 4 = -1 + b.

Adding 1 to both sides, we get 5 = b.

Thus, the initial value is b = 5.

Therefore, the rate of change is m = -1 and the initial value is b = 5.