What is the slope of the line perpendicular to # y=-5/3-6 #?
2 Answers
As asked
If the intended equation was
see below.
Explanation:
Any equation in the form
If a line has a slope of
then all lines perpendicular to it have a slope of
If the equation was intended to be
then all lines perpendicular to it will have a slope:
Explanation:
#"assuming "y=-5/3x-6" is meant"#
#"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=-5/3x-6" is in this form with "m=-5/3#
#"given a line with slope m then the slope of a line"#
#"perpendicular to it is"#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m#
#rArrm_(color(red)"perpendicular")=-1/(-5/3)=3/5#