Question

Find the slope of every line that is perpendicular to this one.

Answer 1

the gradient of a line perpendicular to another line is the negative reciprocal of the original line
so
a line y=2x+3
m=2
where m is the gradient

so the gradient of any line perpendicular to this one is the negative reciprocal

Answer 2

negative reciprocal is
\[\frac{ -1 }{ m }\]

Answer 3

this is the gradient for a line perpendicular