You could get two different functions out of this:
<u>2x + 2y = 8</u>
1). <u> 'y' as a function of 'x'</u>
Subtract 2x from each side: 2y = -2x + 8
Divide each side by 2 : <em> y = -x + 4</em>
2). <u> 'x' as a function of 'y' :</u>
Subtract 2y from each side: 2x = -2y + 8
Divide each side by 2 : <em> x = -y + 4</em>
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.
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.