# 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 *slope-intercept* form with a slope of

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#