5-2 Distance Formula (Flashcardizz)

Front

What is the Distance Formula?

Back

The Distance Formula is used to determine the distance between two points in a coordinate plane. It is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the distance between points J(4,3) and K(2,-3)?

Back

Using the Distance Formula: d = √((2 - 4)² + (-3 - 3)²) = √(4 + 36) = √40.

Front

What is the distance between the points (4, 3) and (0, 6)?

Back

Using the Distance Formula: d = √((0 - 4)² + (6 - 3)²) = √(16 + 9) = √25 = 5.

Front

If the distance between two points is 7.2 km, what does this represent?

Back

This represents the straight-line distance between the two points, regardless of the path taken.

Front

What is the significance of the square root in the Distance Formula?

Back

The square root is used to ensure that the distance is a non-negative value, as distance cannot be negative.

Front

How can you verify the distance calculated using the Distance Formula?

Back

You can verify the distance by plotting the points on a graph and measuring the distance directly.

Front

What does the term 'coordinates' refer to in the context of the Distance Formula?

Back

Coordinates refer to the ordered pairs (x, y) that represent the position of points on a Cartesian plane.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Using the Distance Formula: d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

Using the Distance Formula: d = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

What is the distance between the points (2, 3) and (2, -1)?

Back

Using the Distance Formula: d = √((2 - 2)² + (-1 - 3)²) = √(0 + 16) = √16 = 4.