# What is the slope of the line perpendicular to #2x - 3y - 5 = 0#?

##### 1 Answer

Mar 24, 2017

#### Explanation:

#"rearrange " 2x-3y-5=0" into " color(blue)"slope-intercept form"#

#• y=mx+b# where m represents the slope and b, the y-intercept.

#rArr-3y=-2x+5# divide all terms by - 3

#(cancel(-3) y)/cancel(-3)=(-2)/(-3)x+5/(-3)#

#rArry=2/3x-5/3larrcolor(red)" in slope-intercept form"#

#rArr"slope "=m=2/3# The slope of a perpendicular line is the

#color(blue)"negative reciprocal"" of " m#

#rArrm_("perpendicular")=-1/m=-1/(2/3)=-1xx3/2=-3/2#