The line equation in slope-intercept form is
, where m is the slope
and b is the y-intercept.
\ \Write the line equation in slope-intercept form
\
(Add
to each side)
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive indentity property:
)
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
.
Substitute
=
and
in the point-slope form equation.
(Substitute
)
(Product of two same signs is positive)
(Apply distributive property:
)
(Multiply:
)
(Add 2 to each side)
(Apply additive inverse property:
)
(Apply additive indentity property:
)
(Add:
)
The slope-intercept form line equation is
.