The image you uploaded contains a mathematical exercise with directions for determining whether quadrilaterals are parallelograms using distance and slope formulas. It provides coordinates for points and asks for calculations based on those formulas.

Here are the steps for solving the exercise:

1. Using the Distance Formula

To determine if a quadrilateral is a parallelogram using the distance formula, we need to confirm whether opposite sides are equal in length. The distance formula is: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of two points.

2. Using the Slope Formula

To determine if the quadrilateral is a parallelogram using the slope formula, we need to check if opposite sides have equal slopes. The slope formula is: $m = \frac{y_2 - y_1}{x_2 - x_1}$ If opposite sides of the quadrilateral have the same slope, the quadrilateral is a parallelogram.

If you'd like, I can walk you through how to apply these formulas to the points given in the image. Would you like to start with the first set of coordinates for question 1, or do you have any specific questions?