# How do you find the slope perpendicular to #x + 2y = 7#?

##### 1 Answer

May 27, 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=7" into this form"#

#"subtract "x" from both sides"#

#2y=-x+7#

#"divide all terms by 2"#

#y=-1/2x+7/2larrcolor(blue)"in slope-intercept form"#

#"with slope m "=-1/2" and b=7/2#

#"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#

#m_("perpendicular")=-1/(-1/2)=2larrcolor(red)"perpendicular slope"#