Whats the slope of a line perpendicular to #x - y = 16#?

1 Answer
Jul 22, 2015

Answer:

All lines perpendicular to #x-y = 16#
have a slope of #-1#

Explanation:

#x - y = 16# has a slope of #1#
#color(white)("XXXX")#(this can be demonstrated by:
#color(white)("XXXX")##color(white)("XXXX")##@# converting to slope-point form
#color(white)("XXXX")##color(white)("XXXX")#or
#color(white)("XXXX")##color(white)("XXXX")##@# using the slope #= -b/a# formula)

If a line has a slope of #m#
#color(white)("XXXX")#all lines perpendicular to it have a slope of #(-1/m)#

Therefore all lines perpendicular to #x-y = 16#
#color(white)("XXXX")#have a slope of #(-1)#