Question 828391: Write a rule that represents the function?
Please provide a detailed explanation with the answer.
Thank you very much
Found 2 solutions by TimothyLamb, Edwin McCravy:
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
the given data points fall on the same line.
you can verify this fact by plugging the following list of the given data points:
0,-8, 1,-7, 2,-6, 3,-5, 4,-4
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into this linear regression solver:
https://sooeet.com/math/linear-regression.php
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linear regression model:
y-intercept: -8
slope: 1
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answer:
a rule that represents the function, is the slope-intercept form of the linear equation:
y = x - 8
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you can also verify this linear relationship by calculating the slope between each two data-points like so:
m = (y2 - y1)/(x2 - x1)
all such slopes are 1 because all points are on the same line.
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
Answer by Edwin McCravy(20056)  (Show Source):
You can put this solution on YOUR website! (0,-8), (1,-7), (2,-6), (3,-5), (4,-4)
(0,-8), we observe that (-8)-(0) = -8
(1,-7), we observe that (-7)-(1) = -8
(2,-6), we observe that (-6)-(2) = -8
(3,-5), we observe that (-5)-(3) = -8
(4,-4), we observe that (-4)-(4) = -8
We therefore conclude that if we had (x,y),
we would observe that
y-x = -8
y = x-8
That's the rule.
Edwin
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