# What is the equation of the line perpendicular to #y=7/16x # that passes through # (6,-5) #?

##### 1 Answer

Apr 8, 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=7/16x" is in this form"#

#"with slope m "=7/16#

#"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/(7/16)=-16/7#

#rArry+5=-16/7(x-6)larrcolor(blue)"point-slope form"#

#rArry+5=-16/7x+96/7#

#rArry=-16/7x+61/7larrcolor(blue)"slope-intercept form"#