Solve the system of equations graphed on the coordinate axes below.

To solve the system of equations given by:

1. \( y = -\frac{3}{4}x - 3 \)
2. \( y = \frac{1}{2}x - 3 \)

we can set them equal to each other to find the intersection point.

### Step 1: Set the equations equal to each other.
\[
-\frac{3}{4}x - 3 = \frac{1}{2}x - 3
\]

### Step 2: Eliminate \( -3 \) from both sides.
\[
-\frac{3}{4}x = \frac{1}{2}x
\]

### Step 3: Rearrange the equation.
To solve for \( x \), we can add \( \frac{3}{4}x \) to both sides:
\[
0 = \frac{1}{2}x + \frac{3}{4}x
\]

### Step 4: Find a common denominator to combine the terms.
The common denominator for \( 2 \) and \( 4 \) is \( 4 \):
\[
\frac{1}{2}x = \frac{2}{4}x
\]

Now combine:
\[
0 = \frac{2}{4}x + \frac{3}{4}x
\]
\[
0 = \frac{5}{4}x
\]

### Step 5: Solve for \( x \).
Dividing by \( \frac{5}{4} \):
\[
x = 0
\]

### Step 6: Substitute \( x = 0 \) back into one of the original equations to find \( y \).
Using the second equation:
\[
y = \frac{1}{2}(0) - 3 = -3
\]

### Final Answer:
Thus, the solution to the system of equations is:
\[
(x, y) = (0, -3)
\]

The intersection point of the lines represented by the equations is at \((0, -3)\).