The image shows a graph with two lines, and the task appears to involve determining the slopes of both the original line and a parallel line you have drawn.

To determine the slope of the given lines:

1. Identify the points on each line:

   • The original line appears to pass through two specific points: $(0, 0)$ and $(3, 3)$.
   • The parallel line you drew appears to pass through points like $(0, -5)$ and another point (though it's harder to tell the exact coordinates).

2. Calculate the slope using the slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$

   For the original line passing through $(0, 0)$ and $(3, 3)$, the slope would be: $\text{slope} = \frac{3 - 0}{3 - 0} = 1$

   Since the lines are parallel, the slope of the parallel line should also be 1.

Conclusion:

• The original slope is $1$.
• The parallel slope is also $1$.

Would you like further details or have any questions on this explanation?

Here are some related questions:

1. How do you find the slope of a perpendicular line?
2. What would the slope of a vertical line be?
3. What does it mean if two lines have the same slope?
4. How do you graph a line given a point and a slope?
5. How do you recognize parallel and perpendicular lines visually?

Tip: To check if two lines are parallel, remember that their slopes must always be equal.