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

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(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

1 answer

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.