How do you find the slope and y intercept for y-6=3x?

$y - 6 = 3 x$
$\textcolor{w h i t e}{\text{XXXXX}}$can be re-written as
$y = 3 x + 6$
$\textcolor{w h i t e}{\text{XXXXX}}$which is the slope-intercept form
$\textcolor{w h i t e}{\text{XXXXX}}$$\textcolor{w h i t e}{\text{XXXXX}}$with slope $= 3$
$\textcolor{w h i t e}{\text{XXXXX}}$$\textcolor{w h i t e}{\text{XXXXX}}$and y-intercept $= 6$