Question

What would the slope of a line be if it were perpendicular to the line: y = 1 / 6x - 7 ?Select one:a.- 7b.- 6c.- 1 / 6d.6

Answer 1

The equation of the line is given below as

`y=(1)/(6)x-7`

Concept:

The general form of the equation of a line is given below as

`\begin{gathered} y=mx+c \\ where, \\ m=slope \\ c=y-intercept \end{gathered}`

Condition for perpendicularity of two lines is given below as

`m_1* m_2=-1`

In this case,

The first slope is given below as

`\begin{gathered} m_1=(1)/(6) \\ by\text{ comparing coefficient} \end{gathered}`

To figure out the slope of the perpendicular line below, we will substitute the value of m1=1/6 below as

`\begin{gathered} m_1* m_2=-1 \\ (1)/(6)* m_2=-1 \\ (m_2)/(6)=-1 \\ corss\text{ multipyl, we will have} \\ m_2=-1*6 \\ m_2=-6 \end{gathered}`

Hence,

The final answer is

`\Rightarrow-6`

OPTION B is the correct answer