Question

Find the slope of a line perpendicular to

2x + y = -8.

Answer 1

if two lines are perpndicular then product of thier slopes=-1

so let m is slope of given line and n is for desired (to be fouund) then

m*n=-1
here m=-2, so

-2n=-1
=>n=1/2

Answer 2

bring this equation into this form
y=mx+b
y=-2x-8
here the slope is
m1=-2
so in the perpendicular liness condition
is
m1m2=-1
-2m2=-1
m2=-1/-2
m2=1/2
m=1/2
is the slope of perpendicular line