Question

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 1

Hi, there!

______

`\begin{tabular}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

`-(1)/(7)`.

Therefore,

`\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-(1)/(7)} \end{cases}}`

Hope the answer - and explanation - made sense,

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

Answer 2

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?