What is the equation of the line in slope-intercept form that passes through the point (3, –5) and is perpendicular to y = –3x – 4?

1 Answer
Sep 9, 2017

Answer:

#y=1/3x-6#

Explanation:

#"given a line with slope m then the slope of a perpendicular"#
#"line to it is "#

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

#y=-3x-4" is in "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#rArry=-3x-4" has slope "m=-3#

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

#rArry=1/3x+blarr" partial equation"#

#"to find b substitute "(3,-5)" into the partial equation"#

#-5=1+brArrb=-6#

#rArry=1/3x-6larrcolor(red)" in slope-intercept form"#