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
in point slope form equation


(Product of two same signs is positive)
(Apply distributive property:
)
(Product of two same signs is positive)
(Subtract 3 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
The slope-intercept form line equation is
.