Question

How do you find the slope perpendicular to `x = –2y + 10.`?

Answer 1

`"perpendicular slope "=2`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

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

`"rearrange "x=-2y+10" into this form"`

`"subtract 10 from both sides"`

`rArrx-10=-2y`

`"divide all terms by "-2`

`rArry=-1/2x+5larrcolor(blue)"in slope-intercept form"`

`"with slope m "=-1/2`

`"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`

`rArrm_("perpendicular")=-1/(-1/2)=2`