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

##### 1 Answer

Apr 17, 2018

#### 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#