Finding Distances Using Absolute Value

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

How do you calculate the distance between two points in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the distance between two points with the same x-coordinate?

Back

The distance between two points with the same x-coordinate is the absolute difference of their y-coordinates.

Front

What is the distance between two points with the same y-coordinate?

Back

The distance between two points with the same y-coordinate is the absolute difference of their x-coordinates.

Front

If a point moves 3 units left and 6 units up from the origin, what are its new coordinates?

Back

The new coordinates will be (-3, 6).

Front

What is the distance between the points (8, 3) and (8, 10)?

Back

The distance is 7, calculated as the absolute difference of their y-coordinates (10 - 3).

Front

What is the distance between the points (-3, 4) and (-3, -1)?

Back

The distance is 5, calculated as the absolute difference of their y-coordinates (4 - (-1)).

Front

What does it mean if two points are on a vertical line in a coordinate plane?

Back

If two points are on a vertical line, they have the same x-coordinate.

Front

What does it mean if two points are on a horizontal line in a coordinate plane?

Back

If two points are on a horizontal line, they have the same y-coordinate.

Front

How do you determine if a distance calculation is possible between two points?

Back

A distance calculation is always possible between two points in a coordinate plane, regardless of their positions.