# What is the slope of the line perpendicular to #y=4/15x+7 #?

##### 1 Answer

May 4, 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=4/15x+7" is in this form"#

#"with slope m "=4/15#

#"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_("perpendicular")=-1/(4/15)=-15/4#