# What is the slope of a line that is perpendicular to a slope of 1/2?

Jul 27, 2016

$- 2$

#### Explanation:

Consider the standard equation of a $\underline{\text{straight}}$ line

$y = m x + c \text{ }$ where $m$ is the gradient (slope)

The gradient of a straight line perpendicular to the first one will
be $- \frac{1}{m}$

Given that $m = \frac{1}{2}$ then the perpendicular line will have the

gradient of $\text{ } - \frac{2}{1} \to - 2$