Question

Consider the line y=-1/2x+8

Answer 1

Given parameters:

Equation of the line is y = -$\frac{1}{2} x$ + 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  = - $\frac{1}{2}$

Slope of line parallel to this line = $-\frac{1}{2}$

Slope of line perpendicular = negative inverse = -( -($\frac{1}{\frac{1}{2} }$))   = 2

So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2