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 property:
)
(Cancel common terms)
(Add 3 to each side)
(Apply additive inverse property:
)
(Apply additive inverse property:
)
(Add:
)
The slope-intercept form line equation is .