Look at points C and D on the graph:

Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at 0, 2 and point D at 6, negative 4
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (5 points)

3.46 units

8.49 units

12.00 units

72.00 units

1 answer

To find the distance between two points, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of point C are (0, 2), and the coordinates of point D are (6, -4).

Using the formula, we can calculate the distance:

d = √((6 - 0)² + (-4 - 2)²)
= √(6² + (-6)²)
= √(36 + 36)
= √72
≈ 8.49

Therefore, the distance between points C and D is approximately 8.49 units.

The correct answer is:

8.49 units