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 use the formula:

m = (y2 - y1) / (x2 - x1)

Choosing two points from the table, let's use (1, 4) and (-3, 8):

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

So, the rate of change is m = -1.

To find the initial value (y-intercept), we can substitute one of the points into the equation y = mx + b. Let's use (1, 4):

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

So, the initial value is b = 5.