Slope and y-intercepts Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
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 = (y2 - y1) / (x2 - x1)

Let's choose the points (1,4) and (3,8) from the table:

m = (8 - 4) / (3 - 1) = 4 / 2 = 2

So, the rate of change is m = 2.

To find the initial value, we can choose any point from the table and use the formula:

y = mx + b

Let's use the point (1,4) and the rate of change m = 2:

4 = 2(1) + b
4 = 2 + b
b = 2

So, the initial value is b = 2.