Slope and y-intercepts Practice
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=
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.