Question

What function should be graphed in order to solve the equation 9x−6=−8
? choose one, cuz one of these are correct.
Responses

f(x)=9x−14
f left parenthesis x right parenthesis equals 9x minus 14

f(x)=9x+2
f left parenthesis x right parenthesis equals 9 x plus 2

f(x)=17x−6
f left parenthesis x right parenthesis equals 17 x minus 6

f(x)=x−6

Answer 1

To solve the equation \( 9x - 6 = -8 \), we first rewrite it as \( 9x - 6 + 6 = -8 + 6 \), which simplifies to \( 9x = -2 \).

You can solve for \( x \) by isolating it on one side of the equation, leading to \( x = -\frac{2}{9} \).

To graph a function that represents this equation, we can rearrange the original equation to express \( y \) in terms of \( x \):

Starting from:
\[ 9x - 6 = -8 \]

We can rewrite it as:
\[ 9x + 8 - 6 = 0 \]

Or:
\[ 9x + 2 = 0 \]
Which gives us the function:
\[ f(x) = 9x + 2 \]

Thus, the correct choice to graph is:

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