Question

Slope of the line perpendicular to the line with equation $y=6x+7$ is _____

• A. $-6$
• B. $\left(\frac{1}{6}\right)$
• C. $\left(\frac{-1}{6}\right)$
• D. $6$

Answer 1

Answer: (C)

$\left(\frac{-1}{6}\right)$

Let the slope of the required line be $m_1$.
The slope of line $y=6x+7$ is $m_2$ $=6$.

For the given two lines to be perpendicular we have $m_1\times m_2=1$

$(m_1\times m_2=1)$

$(m_1\times 6=1)$ or $m_1=\frac{1}{6}$

The slope of the line perpendicular to the given line is $m_1=\frac{1}{6}$.