$\"\"$

The line equation in slope-intercept form is $\"\"$ , where m is the slope and b is the y-intercept.

The line parallel to $\"\"$ has the same slope $\"\"$ .

Replace m with $\"\"$ , and (x₁, y₁) with (3, 3) in point slope form equation

$\"\"$

$\"\"$ (Apply distributive law: a(b + c) = ab + ac)

$\"\"$ (Cancel common terms)

$\"\"$ (Add 3 to each side)

$\"\"$ (Additive inverse property: $\"\"$ )

$\"\"$ (Add: $\"\"$ ) \ \

$\"\"$

The slope-intercept form line equation is $\"\"$ .