Susie determined that the system of equations below has infinitely many solutions.

To determine whether Susie is correct, we need to check if the two lines represented by the points provided are the same line (thus having infinitely many solutions) or if they are parallel (which means they will not intersect) or if they intersect at a single point.

### Step 1: Find the equations of both lines.

#### Finding the equation of the first line (going through points (2, -13) and (-2, -1)):
1. Calculate the slope (m) of the first line:
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-13)}{-2 - 2} = \frac{-1 + 13}{-4} = \frac{12}{-4} = -3
\]

2. Use the point-slope form of a line \( y - y_1 = m(x - x_1) \):
Using point (2, -13):
\[
y - (-13) = -3(x - 2) \\
y + 13 = -3x + 6 \\
y = -3x + 6 - 13 \\
y = -3x - 7
\]

So the equation of the first line is:
\[
y = -3x - 7
\]

#### Finding the equation of the second line (going through points (5, -22) and (-3, 2)):
1. Calculate the slope (m) of the second line:
\[
m = \frac{2 - (-22)}{-3 - 5} = \frac{2 + 22}{-8} = \frac{24}{-8} = -3
\]

2. Again using the point-slope form with point (5, -22):
\[
y - (-22) = -3(x - 5) \\
y + 22 = -3x + 15 \\
y = -3x + 15 - 22 \\
y = -3x - 7
\]

So the equation of the second line is:
\[
y = -3x - 7
\]

### Step 2: Compare the equations of the lines.

Both lines have the same equation:
\[
y = -3x - 7
\]

### Conclusion

Since both lines are the same, they overlap entirely, which means they have infinitely many solutions. Therefore, Susie's assertion that the system of equations has infinitely many solutions is correct.

Thus, the correct answer is:
**Yes, Susie is correct.**