Coordinate Plane & Distance

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What does the term 'distance' refer to in a coordinate plane?

Back

Distance refers to the length between two points on the coordinate plane, calculated using the distance formula.

Front

What is the distance formula?

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

How do you find the distance between the points (3, 4) and (7, 1)?

Back

Using the distance formula: d = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5 units.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to locate points on a coordinate plane, written in the form (x, y).

Front

What does the x-coordinate represent?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane.

Front

If a point is located at (0, 0), what is this point called?

Back

This point is called the origin.

Front

How do you determine the distance between two points on a vertical line?

Back

The distance is the absolute difference between their y-coordinates.

Front

How do you determine the distance between two points on a horizontal line?

Back

The distance is the absolute difference between their x-coordinates.