SOLUTION: how do you write an equation for a linear function f with the given values the problem i need help wiht is f(-4)=5,f(2)=2

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Question 693831: how do you write an equation for a linear function f with the given values
the problem i need help wiht is
f(-4)=5,f(2)=2
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Given are x and y values, in the form of the function.
Therefore,
f(-4)=5 is (-4, 5)
f(2) =2 is (2, 2)
...
First, find slope
%285-2%29%2F%28-4-2%29+=+3%2F-6+=+%28-1%2F2%29
Second, take slope and one point within the point-slope formula
y - 5 = %28-1%2F2%29%28x--4%29
y - 5 = %28-1%2F2%29%28x%2B4%29
y - 5 = %28-1%2F2%29x+-+%281%2F2%29%284%29
y - 5 = %28-1%2F2%29x+-+2
y = %28-1%2F2%29x+-+2+%2B+5
y = -1%2F2x + 3
The linear function is then,
highlight_green%28f%28x%29=%28-1%2F2%29x%2B3%29
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