Graphing & Distance Between Two Points

Front

What is a coordinate in a 2D space?

Back

A coordinate in a 2D space is a pair of numbers (x, y) that define a point's position on a grid, where 'x' represents the horizontal position and 'y' represents the vertical position.

Front

What does the x-coordinate represent?

Back

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

Front

What does the y-coordinate represent?

Back

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

Front

How do you find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance can be found using the formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The distance is 5 units, calculated using the formula: Distance = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5.

Front

What is the coordinate of the point located 4 units to the right and 3 units up from the origin?

Back

The coordinate is (4, 3).

Front

If a point is located at (0, -6), what is its position on the y-axis?

Back

The point is located 6 units down from the origin on the y-axis.

Front

What is the significance of the origin in a coordinate grid?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect, serving as the reference point for all other coordinates.

Front

How do you identify a point on a coordinate grid?

Back

To identify a point, locate its x-coordinate on the horizontal axis and its y-coordinate on the vertical axis, then find where these two values intersect.

Front

What is the coordinate of the point that is 2 units left and 2 units down from (2, 2)?

Back

The coordinate is (0, 0).