Question

Write the equation in a function format.x + 4y = -12

Answer 1

Given the equation:

x + 4y = -12

To write this equation ain function format take the following steps:

• Step 1

Rewrite the equation in terms of y:

x + 4y = -12

4y = -x - 12

Divide through by 4:

$\begin{gathered} \frac{4y}{4}=\frac{-x}{4}-\frac{12}{4} \\ \\ y\text{ = -}\frac{1}{4}x-3 \end{gathered}$

• Step 2:

Replace the y, with f(x)

$f(x)=-\frac{1}{4}x-3$

This means that the function depends on x.

f(x) is the output depends on the input x.

Therefore, the equation in function format is:

$f(x)=-\frac{1}{4}x-3$

ANSWER:

$f(x)=-\frac{1}{4}x-3$