
The given line is
.
above line is slope - intercept form
.
So, given line has a slope of(
) =
1.
So, a line parallel to it has a slope of
.
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(
) =
1.
(Substitute 1 for
, 7 for
and
=
1)
Rewrite in slope - intercept form
. \ \
(Apply distributive property:
)
(Multiply:
)
(Add 1 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Substitute
=
in equation
.

(Product of different signs is negative)
(Add:
)
The equation satisfies the condition.
\So,The equation of the line is
.
The equation of the line is
.