Based on the images you've uploaded, it looks like you're dealing with the slopes of different line segments and triangles on the coordinate plane. Let's break down the relevant relationships:

1. The lines and triangles in the image indicate different segments, labeled with points P, Q, R, S, T, and U.
2. The question is asking about the slopes of various line segments and whether they are equal.

Now, to clarify each statement:

• The slope of PR is equal to the slope of QS: This statement could be true if both PR and QS are parallel to each other. We would need to calculate the slopes of these two line segments to confirm.

• The slope of PR is equal to the slope of US: This could also be true if the two line segments are parallel. Again, slope calculations will determine the truth of this statement.

• The slope of PR is equal to the slope of the line: This suggests that PR might lie along the same line, so their slopes should be the same.

• The slope of the line is equal to TR/US: This is comparing two other segments’ slopes. This statement requires us to analyze the relationship between the line and the segments TR and US.

• The slope of the line is equal to PT/TR: Similarly, this compares the line’s slope to the ratio of PT to TR, which could also be true based on specific calculations.

• The slope of the line is equal to QU/US: This compares the slope of the line to the ratio of QU to US, which may also be true based on the same reasoning.

To properly determine which statements are correct, we need to calculate the slopes of the relevant segments. You can find the slope of a line segment using the formula:

$\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}$

Where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of two points on the segment. If you’d like, I can help you calculate those slopes to confirm which statements are true.

Would you like to proceed with slope calculations, or do you have any specific questions?