Consider the line y = 7x-1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Respuesta :

Consider the line y = 7x-1.
What is the slope of a line
parallel to this line?
What is the slope of a line
perpendicular to this line?

Hi, there!

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[tex]\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}[/tex]

  1. How are the slopes of parallel lines related to each other?
  2. How are the slopes of perpendicular lines related to each other?

(1)

 - The slopes of parallel lines are identical.

{The line [tex]\sf{y=7x-1}[/tex] has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is [tex]\sf{7}[/tex].}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

[tex]-\dfrac{1}{7}[/tex].

Therefore,

[tex]\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}[/tex]

Hope the answer - and explanation - made sense,

happy studying!!                                                                 [tex]\tiny\boldsymbol{Frozen \ melody}[/tex]