The equation of the line is
.
(Add 7 to each side)
(Add: -7+7=0)
(Apply additive identity property: a+0=a)
(Divide each side by
)
(Cancel common terms)
Let the slope of the line be
Compare the equation of the line with the slope-intercept form
, where m = slope of the line and b = y-intercept.
Therefore
.
Let the slope of another line be
.
If the two nonvertical lines are parallel, then their slopes are equal. That is
.
Therefore slope of the line parallel to the line
is also
.
If the two nonvertical lines are perpendicular, then their slopes are negative reciprocals of each other. That is
.
Therefore slope of the line perpendicular to the line
is
.
The slope of a parallel line is
and the slope of a perpendicular line is
.