Question

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

?(1 point)
Responses

f(x)=9x+2

f(x)=9x−14

f(x)=x−6

f(x)=17x−6

Answer 1

To solve the equation \( 9x - 6 = -8 \), we can rearrange it into the form of a function.

Starting with the equation:

\[ 9x - 6 = -8 \]

We can add 6 to both sides:

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

Now, divide both sides by 9:

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

This represents our solution. To express this as a function so that it can be graphed, we can re-arrange the original equation to one side.

We can set \( y = 9x - 6 + 8 \):

\[ y = 9x + 2 \]

So, to graph the function that would help us solve the equation, we should use:

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

Thus, the correct response is:

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