How do you write the equation of line passes through (-2,-2), and is perpendicular to y= -1/3x + 9?
1 Answer
Oct 31, 2017
Explanation:
#"given the slope of a line m then the slope of a line"#
#"perpendicular to it is"#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m#
#"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 "m=-1/3#
#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 equation"#
#-2=-6+brArrb=4#
#rArry=3x+4larrcolor(red)"equation of perpendicular line"#