Final answer:
To calculate the length of line segment CD, we apply the distance formula to the given coordinates, resulting in an exact length of 2√5, or approximately 4.47 units.
Step-by-step explanation:
To find the length of CD using the distance formula, we need to use the coordinates of the points C(-3, -4) and D(1, -2). The distance formula is: Distance = √((x2 - x1)² + (y2 - y1)²). Substituting the given coordinates into the formula, we get:
Distance = √((1 - (-3))² + (-2 - (-4))²)
Distance = √((1 + 3)² + (-2 + 4)²)
Distance = √(4² + 2²)
Distance = √(16 + 4)
Distance = √20
Distance = 2√5
The exact length of CD is 2√5, or approximately 4.47 units when rounded to two decimal places.