Question

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

Answer 1

`-1`

Explanation:

`"given a line with slope m then the slope of a line"`
`"perpendicular to it is "`

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

`"rearrange "x-y=16" into "color(blue)"slope-intercept form"`

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`x-y=16rArry=x-16`

`rArrm=1`

`rArrm_(color(red)"perpendicular")=-1/1=-1`