4-3 Distance Using Absolute Value

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does absolute value represent in mathematics?

Back

Absolute value represents the distance of a number from zero on the number line, regardless of direction.

Front

How do you find the distance between two points with the same x-coordinate?

Back

Subtract the y-coordinates and take the absolute value of the result.

Front

What is the distance between the points (3, 4) and (3, -2)?

Back

6 units

Front

What is the distance between the points (5, 6) and (5, 8)?

Back

2 units because |8| - |6| = 2

Front

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

Back

10 units

Front

If the distance between two points is 7 and one point is (5, -2), what could be the second point?

Back

(-2, -2) is one possible second point.

Front

What expression would find the distance between the points (–6,–10) and (–2,–10)?

Back

|-6| - |-2| = 4

Front

What is the distance between the points (1, 2) and (1, 5)?

Back

3 units because |5| - |2| = 3

Front

How do you calculate the distance between two points with the same y-coordinate?

Back

Subtract the x-coordinates and take the absolute value of the result.