Put the following equation below in function notation and evaluate, using x as the independent variable: -6y=16x+3; x= -5

Answer 1

-6y = 16x + 3

Isolate the y by dividing both sides by -6:

y = f(x) = -8x/3 - 1/2

To find f(-5), just plug in -5 for x and solve

Answer 2

The first thing that needs to be done is to divide both sides of the equation by - 6:

-6y = 16x + 3

---- ----- ----

-6 -6 -6

This gives us:

y = (-8/3)x - 1/2

Now all we do is plug in x = - 5 and simplify:

y = (-8/3)(-5) -1/2

= 40/3 - 1/2

= 80/6 - 3/6 [we got both fractions into a common denominator]

= 77/6

So our answer is 77/6