Question

Consider the line y = 7x-1.

Answer 1

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?

Answer 2

Hi, there!

 ______

$\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}$

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 $\sf{y=7x-1}$ 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 $\sf{7}$.}

(2)

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

The negative inverse of 7 is

$-\dfrac{1}{7}$.

Therefore,

$\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}$

Hope the answer - and explanation - made sense,

happy studying!!                                                                 $\tiny\boldsymbol{Frozen \ melody}$