# How do you write the equation of a line in point slope form into slope intercept form given y - 1/2 = x + 1/2?

$\left(y - \hat{y}\right) = m \left(x - \hat{x}\right)$ for a line with slope $m$ through the point $\left(\hat{x} , \hat{y}\right)$
$y - \frac{1}{2} = x + \frac{1}{2}$
$\left(y - \frac{1}{2}\right) = \left(1\right) \left(x - \left(- \frac{1}{2}\right)\right)$
for a line with a slope of $1$ through the point $\left(- \frac{1}{2} , + \frac{1}{2}\right)$