The given line is
.
Slope - intercept form
.
Slope of the given line is (
) =
.
Slope of the parallel line is
.
Because you know the slope and a point on the line,
\Use point - slope form
to write an equation of the line.
Let
=
and slope(
) =
.
(Substitute
3 for
,
4 for
and
=
)
Rewrite in slope - intercept form
.
(Product of two same signs is positive)
(Multiply each side by 3)
(Cancel common terms)
Using distributive property:

(Multiply:
)
Apply to subtraction property of equality: a = b then a
c = b
c.
(Subtract 9 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by 3)
(Cancel common terms)
The equation of the line is
.