Question

What function should be graphed in order to solve the equation 9x−6 =−8
?

Desmos Link

(1 point)
Responses

f(x) = 9x + 2
f(x) = 9x + 2

f(x) = 9x - 14
f(x) = 9x - 14

f(x) =17x - 6
f(x) =17x - 6

f(x) =x -6

Answer 1

To solve the equation \(9x - 6 = -8\), we want to isolate \(x\). First, we can add 6 to both sides of the equation:

\[
9x - 6 + 6 = -8 + 6
\]
\[
9x = -2
\]

Next, we divide both sides by 9:

\[
x = -\frac{2}{9}
\]

To graph this, we can rearrange the equation to set it equal to zero. We can rewrite the equation \(9x - 6 = -8\) as:

\[
9x - 6 + 8 = 0
\]
\[
9x + 2 = 0
\]

So, the function we want to graph is:

\[
f(x) = 9x + 2
\]

This means the correct response is:

**f(x) = 9x + 2**.