# How do you find the slope perpendicular to #y = 2/3x - 12#?

##### 1 Answer

Apr 9, 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"#

#y=2/3x-12" is in this form with slope m "=2/3#

#"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/(2/3)=-3/2#