The equation of the line is .
(Subtract 11x from each side)
(Subtract:
)
(Apply additive identity property: a+0=a)
(Divide each side by
)
(Divide:
)
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
.