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

Question

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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

Answer 1

To solve the equation \( 9x - 6 = -8 \), you should first rearrange the equation to one side to find the x-intercept.

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

Add 6 to both sides: \[ 9x = -8 + 6 \]

This simplifies to: \[ 9x = -2 \]

Now, if you solve for \( x \): \[ x = -\frac{2}{9} \]

Next, we can rewrite the original equation in the form of a function to graph: \[ 9x - 6 + 8 = 0 \] or \[ 9x + 2 = 0 \]

Thus, the function you should graph is: \[ f(x) = 9x + 2 \]

So the correct response is: f(x) = 9x + 2.