Find an equation of the line. write the equation using function notation.
through (6,-3); perpendicular to 6y=x - 12

y=-6x+33

Step-by-step explanation:

Perpendicular lines meet the following condition:

m1*m2=-1

From the first line equation, we obtain m1 if we write the given equation in a proper manner. 6y=x-12 becomes y=x/6 -12,

m1=1/6 since is the coefficient of 'x' variable.

Now, to obtain 'm2' we use the condition for perpendicular lines

(1/6)*m2=-1

m2=-6

Thus, our new line have an equation like the following y=mx+b, where m=-6

Now, we need to eval the given point (6,-3) in the equation in from above to obtain the value of 'b'

-3= -6*(6) + b

Leading us to, b=33