Question

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

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

Answer 1

The correct option is D

$\frac{1}{12}$

$\text{Slope of line L is}$

$m_1=$ $\frac{(7-(-5\left)\right)}{(3-4)}=-12$

Slope of the line perpendicular to the given line = -$\frac{1}{m_1}$

Therefore, slope of the line perpendicular to L = $\frac{1}{12}$