# What is the equation of the line that passes through the point (-2,-2) and is perpendicular to y= -1/3x + 9?

##### 1 Answer

Mar 8, 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=-1/3x+9" is in this form"#

#"with slope "=m=-1/3#

#"Given a line with slope m then the slope of a line"#

#"perpendicular to it is"#

#m_(color(red)"perpendicular")=-1/m#

#rArrm_(color(red)"perpendicular")=-1/(-1/3)=3#

#rArry=3x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(-2,-2)" into the partial fraction"#

#-2=-6+brArrb=-2+6=4#

#rArry=3x+4larrcolor(red)"equation of perpendicular line"#