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

Answer 1

To solve the equation \(9x - 6 = -8\) graphically, you can rearrange the equation to express it in terms of \(y\).

1. Start with the equation: \[ 9x - 6 = -8 \]

2. Add 6 to both sides to isolate the term with \(x\): \[ 9x = -8 + 6 \] \[ 9x = -2 \]

3. Divide by 9 to solve for \(x\): \[ x = -\frac{2}{9} \]

To graph it, you can create two functions based on the original equation:

1. The first function is \(y = 9x - 6\).
2. The second function is \(y = -8\).

Then, plot both functions on the same coordinate plane. The point where the two graphs intersect will give you the solution to the equation \(9x - 6 = -8\).

Alternatively, you could manipulate the equation to set it to zero:

1. Rearranging the original equation results in: \[ 9x + 8 - 6 = 0 \] \[ 9x + 2 = 0 \]

2. Thus, you could also graph the function: \[ y = 9x + 2 \] where you look for the x-intercept (where \(y = 0\)).

In summary, graph either:

• \(y = 9x - 6\) and \(y = -8\)
• or \(y = 9x + 2\) and find where \(y = 0\).

Both methods will lead you to the solution \(x = -\frac{2}{9}\).