SOLUTION: A table of values of a linear function is shown below. Find the output when the input is n. Input 1 2 3 4 n Output 6 5 4 3 ______

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Question 1153065: A table of values of a linear function is shown below. Find the output when the input is n.
Input 1 2 3 4 n
Output 6 5 4 3 ______
Answer by MathLover1(20849) About Me  (Show Source):
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A table of values of a linear function is shown below. Find the output when the input is n.
Input 1 2 3 4 n
Output 6 5 4 3 ______
linear function:
y=mx%2Bb where m is a slope and b is y-intercept
use two given points to find a slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
first two points are: (1,6) and (2,5)

m=%285-6%29%2F%282-1%29
m=-1%2F1
m=-1
so far,

y=-x%2Bb .....use one point to find b
6=-1%2Bb
6%2B1=b
b=7
your equation is:y=-x%2B7
now find next input n (whatever it might be)
y=-n%2B7

Input 1 2 3 4 n
Output 6 5 4 3 _-n+7___