# What is the slope of a line perpendicular to a line with an equation 4x-2y=6?

Apr 12, 2016

Slope of a line perpendicular to the given line will be $- \frac{1}{2}$

#### Explanation:

Let us first write the equation of line $4 x - 2 y = 6$ to slope intercept form $y = m x + c$, where $m$ is slope of the line and $c$ is intercept formed by the line on $y$-axis.

As $4 x - 2 y = 6$, we have $2 y = 4 x - 6$ and $y = 2 x - 3$ and hence slope of the line is $2$.

As the product of slopes of two lines perpendicular to each other is $- 1$,

Hence, the slope of a line perpendicular to the line is $- \frac{1}{2}$