The line equation in slope-intercept form is
, where m is the slope and b is the y-intercept.
First find the slope of the line.
\If two lines are parallel, their slopes must be equal.
\The line parallel to
has the same slope. Compare the equation with slope-intercept form and find the slope of the line.
Slope of the line (m) =
.
Substitute
=
and m =
in the point-slope form equation.
(Substitute
)
(Distributive property:
)
(Product of two same signs is positive)
(Multiply:
)
(Subtract 3 from each side)
(Additive inverse property:
)
(Additive indentity property:
)
(Subtract:
)
The slope-intercept form line equation is
.