How do you write an equation for the line in slope intercept form that is parallel to the given line and that passes through the given point y = x + 9; (–1, 3)?

The Given line is $y = x + 9$, its slope will be =1
So any line parallel to this will have same slope $m = 1$
$y = m x + c \implies y = x + c$
$3 = - 1 + c \implies c = 4$
$y = x + 4$