Graphing & Distance Between Two Points

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What does the x-coordinate represent in an ordered pair?

Back

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

Front

What does the y-coordinate represent in an ordered pair?

Back

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

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).

Front

How do you plot the point (2, -3) on a coordinate plane?

Back

Start at the origin, move 2 units to the right (positive x-direction), and then move 3 units down (negative y-direction).

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

If point A is at (1, 2) and point B is at (4, 6), what is the distance between them?

Back

The distance is 5 units.

Front

What is the significance of the x-axis in a coordinate plane?

Back

The x-axis is the horizontal line that represents all points where y = 0.

Front

What is the significance of the y-axis in a coordinate plane?

Back

The y-axis is the vertical line that represents all points where x = 0.

Front

How do you identify the quadrant of a point (x, y)?

Back

The quadrant is determined by the signs of x and y: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).