How do you write an equation in slope intercept form given y - 1/2 = x + 1/2?

The slope-intercept form is
$y = x + 1$

Explanation:

The slope-intercept form is
$y = m x + b$

So from the given $y - \frac{1}{2} = x + \frac{1}{2}$

All we need to do is to transpose the -1/2 from left to right side of the equation

that is

$y - \frac{1}{2} = x + \frac{1}{2}$

$y = x + \frac{1}{2} + \frac{1}{2}$

$y = x + 1$
God bless...I hope the explanation is useful.