To solve the equation \( \frac{1}{4}x - 6 = -4 \), we can first isolate \( x \).
- Add 6 to both sides of the equation:
\[ \frac{1}{4}x - 6 + 6 = -4 + 6 \] \[ \frac{1}{4}x = 2 \]
- Next, multiply both sides by 4 to solve for \( x \):
\[ x = 2 \times 4 \] \[ x = 8 \]
Now, to represent this solution graphically, we need to identify the appropriate representation. The solution \( x = 8 \) indicates a vertical line on the graph at \( x = 8 \).
If you've been provided with multiple graph options, the correct choice would be the graph that features a vertical line at \( x = 8 \).
Without seeing the specific graph options provided, I cannot determine which one matches exactly, but look for the description of a vertical line crossing the x-axis at the point \( 8 \).