Given parameters:
Equation of the line is y = -[tex]\frac{1}{2} x[/tex] + 8
Unknown:
Slope of line parallel to this line = ?
Slope of line perpendicular = ?
Solution:
A line parallel to this line will have the same slope with it.
A line perpendicular will have the negative inverse of this slope;
Slope of line = - [tex]\frac{1}{2}[/tex]
Slope of line parallel to this line = [tex]-\frac{1}{2}[/tex]
Slope of line perpendicular = negative inverse = -( -([tex]\frac{1}{\frac{1}{2} }[/tex])) = 2
So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2