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

Question

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: \[ \boxed{f(x) = 9x + 2} \]