Question

Write the equation in function form 6y - 4x = 24

Answer 1

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x          (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6             (divide both sides by 6)

y = 4 + (2/3)x          (simplify)

y = (2/3)x + 4        (rearrange to a familiar format "y=mx+b")  

f(x) = (2/3)x + 4        (replace y with f(x))