Question

What function should be graphed in order to solve the equation 9x - 6 = -8?(5 points)
Responses

f(x) = 17x - 6.

f(x) = 9x - 14.

f(x) = x - 6.

f(x) = 9x + 2.

Answer 1

To solve the equation \(9x - 6 = -8\), we can rewrite it in the form of a function. Let's isolate the variable \(x\):

1. Start with the original equation:
\[
9x - 6 = -8
\]

2. Add 6 to both sides:
\[
9x = -8 + 6
\]
\[
9x = -2
\]

3. Divide both sides by 9:
\[
x = -\frac{2}{9}
\]

To express this in the form of a function, we can rearrange the original equation \(9x - 6 + 8 = 0\) into the form \(f(x) = 0\):
\[
f(x) = 9x - 6 + 8
\]
This simplifies to:
\[
f(x) = 9x + 2
\]

Thus, the function you should graph to solve \(9x - 6 = -8\) is:
\[
\boxed{f(x) = 9x + 2}
\]