Question

what function should be graphed in order to solve the equation 9x - 6 = -8
a. f (x) = 9x + 2
b. f (x) = 17x - 6
c. f (x) = x - 6
d. f (x) = 9x - 14

Answer 1

To solve the equation \(9x - 6 = -8\), we can rearrange it to express \(y\) in terms of \(x\). Let's start by moving all terms regarding \(x\) to one side of the equation:

1. Add \(6\) to both sides:
\[
9x = -8 + 6
\]
\[
9x = -2
\]
2. Now to express \(y\) (or \(f(x)\)) in a way that we can graph it, we have:
\[
y = 9x + 2 \quad (\text{after rearranging to } 9x + 2 = 0)
\]

Thus, the function that should be graphed is:
\[
f(x) = 9x + 2
\]

Therefore, the correct answer is:
**a.** \(f(x) = 9x + 2\)