Solution:
The equation of the line is given below as
[tex]y=\frac{1}{6}x-7[/tex]Concept:
The general form of the equation of a line is given below as
[tex]\begin{gathered} y=mx+c \\ where, \\ m=slope \\ c=y-intercept \end{gathered}[/tex]Condition for perpendicularity of two lines is given below as
[tex]m_1\times m_2=-1[/tex]In this case,
The first slope is given below as
[tex]\begin{gathered} m_1=\frac{1}{6} \\ by\text{ comparing coefficient} \end{gathered}[/tex]To figure out the slope of the perpendicular line below, we will substitute the value of m1=1/6 below as
[tex]\begin{gathered} m_1\times m_2=-1 \\ \frac{1}{6}\times m_2=-1 \\ \frac{m_2}{6}=-1 \\ corss\text{ multipyl, we will have} \\ m_2=-1\times6 \\ m_2=-6 \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow-6[/tex]OPTION B is the correct answer
