Question

Rewrite the following equation as a function of x.
4x+8y-28=0

Answer 1

A function is written in terms of f(x).

4x+8y-28=0

Subtract 4x from each side and add 28 to each side:

8y = -4x +28

Divide each term by 8:

y = -x/2 + 7/2

rewrite as a function:

f(x) = -x/2 + 7/2

Answer 2

f(x) = -1/2x+7/2

Explanation:

4x+8y-28=0

Add 28 to each side

4x+8y-28+28=28

4x+8y = 28

Subtract 4x from each side

4x +8y-4x = 28-4x

8y = -4x+28

Divide by 8

8y/8 = -4x/8 +28/8

y = -1/2x+7/2

f(x) = -1/2x+7/2