Question

question 3 of 5
select the correct answer.
rewrite the following equation as a function of x.
56x + 7y + 21 = 0
options:
f(x) = -8x - 3
f(x) = -8x - \frac{3}{7}
f(x) = 7x + 3
f(x) = -8x + 3

Explanation:

Step1: Start with the given equation

We have the equation \( 56x + 7y + 21 = 0 \). Our goal is to solve for \( y \) in terms of \( x \) and then write it as \( f(x) \). First, we'll isolate the term with \( y \).
Subtract \( 56x \) and \( 21 \) from both sides:
\( 7y = -56x - 21 \)

Step2: Solve for \( y \)

Divide every term by \( 7 \) to solve for \( y \):
\( y=\frac{-56x - 21}{7}\)
Simplify each term:
\( y = \frac{-56x}{7}+\frac{-21}{7}\)
\( y=-8x - 3 \)
Since we want to write this as a function of \( x \), we can write \( f(x)=-8x - 3 \).

Answer:

\( f(x) = -8x - 3 \) (corresponding to the first option among the given choices)