Question

A(4, 3) and B(6, 4) are the two given points. Find the slope of a line which is perpendicular to AB.

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

Answer 1

The correct option is B -2

Slope of line AB $=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{4-3}{6-4}$

$m_1=\frac{1}{2}$

Slope of a line perpendicular to AB

$m_2=\frac{-1}{m_1}=\frac{-1}{\frac{1}{2}}=-2$

So, option b is correct.