# How do you find the slope perpendicular to #1/3x + 2/3y = 2#?

##### 1 Answer

Jun 13, 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 "1/3x+2/3y=2" into this form"#

#"multiply all terms by 3"#

#x+2y=6#

#"subtract "x" from both sides and divide by 2"#

#y=-1/2x+3larrcolor(blue)"in slope-intercept form"#

#"with slope "=-1/2#

#"the slope of perpendicular to it is"#

#•color(white)(x)m_(color(red)"perpendicular")=-1/m=-1/(-1/2)=2#