Rewrite the equation \(2x + 2y = 8\) in function form, step by step.

You could get two different functions out of this:
2x + 2y = 8
1). 'y' as a function of 'x'
Subtract 2x from each side: 2y = -2x + 8
Divide each side by 2 : *** y = -x + 4***
2). 'x' as a function of 'y' :
Subtract 2y from each side: 2x = -2y + 8
Divide each side by 2 : *** x = -y + 4***
Those two functions look the same, but that's just because the original equation given in the problem was so symmetrical. In general, they're not the same function.

Answered by AL2006 | 2024-06-10

Starting with 2x + 2y = 8
The first step is to subtract the monomial including x from both sides. 2x + 2y = 8 -2x -2x The result is 2y = -2x + 8
The next step is to isolate y, which we must divide both 2y and -2x + 8 by 2 to achieve. 2y = -2x + 8 /2 /2 The result is y = -x + 4, which is now in function(slope-intercept) form.

Answered by Anonymous | 2024-06-10

To rewrite 2 x + 2 y = 8 as functions, we can express y in terms of x as y = − x + 4 , and x in terms of y as x = − y + 4 . Both forms represent linear relationships between the variables. These transformations showcase how one variable can be represented in terms of the other.
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Answered by AL2006 | 2024-10-11