# What is the slope of a line perpendicular to x - y = 16?

Sep 28, 2017

$- 1$

#### Explanation:

$\text{given a line with slope m then the slope of a line}$
$\text{perpendicular to it is }$

•color(white)(x)m_(color(red)"perpendicular")=-1/m

$\text{rearrange "x-y=16" into "color(blue)"slope-intercept form}$

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$x - y = 16 \Rightarrow y = x - 16$

$\Rightarrow m = 1$

$\Rightarrow {m}_{\textcolor{red}{\text{perpendicular}}} = - \frac{1}{1} = - 1$