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4 votes
2x+2y=8 in function form step by step please?

2 Answers

3 votes
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.
2 votes
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
User Mabahj
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