Question

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

What is the slope of a line parallel to this line?
What is the slope of a ine perpendicular to this line?

Answer 1

Given parameters:

Equation of the line is y = -
`(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 = -
`(1)/(2)`

Slope of line parallel to this line =
`-(1)/(2)`

Slope of line perpendicular = negative inverse = -( -(
`(1)/((1)/(2) )`)) = 2

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