# What is the slope of any line perpendicular to the line passing through #(29,36)# and #(57,57)#?

##### 1 Answer

Jun 2, 2018

#### Explanation:

#"calculate the slope m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(29,36)" and "(x_2,y_2)=(57,57)#

#m=(57-36)/(57-29)=21/28=3/4#

#"the slope of a line perpendicular to m is"#

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

#m_("perpendicular")=-1/(3/4)=-4/3#