Question

which graph best represents the solution to

1/4x - 6 = -4

Answer 1

To solve the equation \( \frac{1}{4}x - 6 = -4 \), we can start by isolating \( x \):

1. Add 6 to both sides of the equation:

\[
\frac{1}{4}x - 6 + 6 = -4 + 6
\]

This simplifies to:

\[
\frac{1}{4}x = 2
\]

2. Next, multiply both sides by 4 to solve for \( x \):

\[
x = 2 \times 4
\]

This gives us:

\[
x = 8
\]

Now we know that the solution to the equation is \( x = 8 \).

In a graphical representation on a coordinate system, this solution is represented as a vertical line at \( x = 8 \). If plotting the line given by the equation \( \frac{1}{4}x - 6 \) and the horizontal line \( y=-4 \), the intersection point will be at \( (8, -4) \).

If you are looking for a specific graph to represent this solution visually, you would be looking for one that:

- Shows a line where \( x = 8 \), or
- Indicates the intersection of the linear equation and the horizontal line at that point.

Make sure to find the graph that matches these characteristics!