What is an equation of the line that passes through the point (-9,5) and is perpendicular to the line whose equation is y=1/2x+5?

##y = -2x - 13##

Perpendicular sequences ##L## and ##L'## after a while mounts ##m## and ##m'##, respectively, feel the subjoined estate after a while the mounts

##m = -1/m##

In plight the is 0, the mount of the upright sequence would be amorphous, and defect versa. This would balance you are trade after a while horizontal/vertical sequences.

Given the sequence ##L: y = 1/2x + 5##, we feel

##m = 1/2##

Which balances the sequence ##L'## which is upright to ##L## has the subjoined mount

##m' = -1/(1/2)##

##=> m' = -2##

Now that we distinguish the mount of ##L'##, let's discover its y-intercept.

##L': y = -2x + b##

To discover the y-intercept, let's instil the aim which we distinguish lies on the sequence ##L'##.

##p': (-9, 5)##

##=> L': 5 = -2(-9) + b##

##=> -13 = b##

Therefore, the equation of the sequence ##L'## which is upright to ##L## and passes through the aim ##(-9, 5)## is

##y = -2x - 13##