For this case we have a function of the form [tex]y = f (x)[/tex], where[tex]f (x) = 2x-6.[/tex]
We want to know the slope of a line that is perpendicular to the line given by[tex]f (x).[/tex]
By definition, if two lines are perpendicular then:
[tex]m_ {1} * m_ {2} = - 1[/tex]
We know that[tex]y = 2x-6[/tex] has slope [tex]m_ {1} = 2[/tex]
We are looking for [tex]m_ {2}[/tex]:
[tex]2 * m_ {2} = - 1\\m_ {2} = - \frac {1} {2}[/tex]
Answer:
Option A
[tex]m = - \frac {1} {2}[/tex]
