Graphing on a coordinate plane

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), used to locate points using ordered pairs.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent the position of a point on a coordinate plane, typically 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, indicating how far to move left or right from the origin.

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, indicating how far to move up or down from the origin.

Front

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

Back

To plot the point (3, 2), start at the origin (0, 0), move 3 units to the right along the x-axis, and then move 2 units up along the y-axis.

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

What is the significance of negative coordinates in a coordinate plane?

Back

Negative coordinates indicate positions that are located to the left of the origin on the x-axis or below the origin on the y-axis.

Front

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

Back

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

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

The distance can be calculated using the distance formula: d = √((x2 - x1)² + (y2 - y1)²). For (1, 2) and (4, 6), d = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the slope of a line between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1). It represents the steepness of the line.