Question
Use the table to answer the question.
x y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values.
(1 point)
The rate of change is m=
, and the initial value is b=
.
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page 1 of 2
x y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values.
(1 point)
The rate of change is m=
, and the initial value is b=
.
Skip to navigation
page 1 of 2
Answers
There are no human answers yet.
Answered by
GPT 3.5
To determine the rate of change (m) and the initial value (b), we can use the formula for the equation of a line: y = mx + b.
First, we need to find the rate of change (m). To do this, we subtract the y values and divide by the difference in x values:
m = (25-22) / (8-2)
m = 3 / 6
m = 0.5
Next, we can use one of the points (2, 22) to find the initial value (b). Using the formula y = mx + b, we can substitute the slope (m=0.5), the x value (2), and the y value (22) into the equation:
22 = 0.5(2) + b
22 = 1 + b
b = 22 - 1
b = 21
Therefore, the rate of change is m = 0.5 and the initial value is b = 21.
First, we need to find the rate of change (m). To do this, we subtract the y values and divide by the difference in x values:
m = (25-22) / (8-2)
m = 3 / 6
m = 0.5
Next, we can use one of the points (2, 22) to find the initial value (b). Using the formula y = mx + b, we can substitute the slope (m=0.5), the x value (2), and the y value (22) into the equation:
22 = 0.5(2) + b
22 = 1 + b
b = 22 - 1
b = 21
Therefore, the rate of change is m = 0.5 and the initial value is b = 21.
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