Question

Line L passes through the points (4, -5) and (3, 7). Find the slope of a line perpendicular to L.

• A. 12
• B. $\frac{-1}{12}$
• C. $\frac{-1}{2}$
• D. $\frac{1}{12}$

Answer 1

The correct option is D $\frac{1}{12}$

Slope of line L ($m_1)$ = $\frac{(7-(-5\left)\right)}{(3-4)}=-12$
Slope of the line perpendicular to the given line $=-\frac{1}{m_1}$

$\therefore$ Slope of the line perpendicular to L $=\frac{-1}{-12}=\frac{1}{12}$