SOLUTION: Write a function that represents the data set (-4, 9), (0, 1), (1, -1), (3, -5), (4, -7).

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Question 160420This question is from textbook saxon algebra 2
: Write a function that represents the data set (-4, 9), (0, 1), (1, -1), (3, -5),
(4, -7). This question is from textbook saxon algebra 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write a function that represents the data set (-4, 9), (0, 1), (1, -1), (3, -5),
(4, -7).
Assuming this is linear, use the 1st and last coordinates to find the slope:
x1=-4; y1=9
x2=+4; y2=-7
:
The slope formula: m = %28%28y2-y1%29%29%2F%28%28x2-x1%29%29
Find the slope:
m = %28%28-7+-+9%29%29%2F%28%284+-%28-4%29%29%29 = m = %28%28-7+-+9%29%29%2F%28%284+%2B+4%29%29
:
m = %28-16%29%2F%288%29 = -2
:
Use the slope intercept formula: y - y1 = m(x - x1)
y - 9 = -2(x - (-4))
:
y - 9 = -2(x + 4)
:
y - 9 = -2x - 8
:
y = -2x - 8 + 9
:
y = -2x + 1
or
f(x) = -2x + 1
:
You can check and see if this fits the data set