Coordinate Plane

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal axis (x-axis) and a vertical axis (y-axis), used to locate points using ordered pairs (x, y).

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), and Quadrant IV (x > 0, y < 0).

Front

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

Back

To determine the quadrant, check the signs of x and y: if both are positive, it's Quadrant I; if x is negative and y is positive, it's Quadrant II; if both are negative, it's Quadrant III; if x is positive and y is negative, it's Quadrant IV.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in the coordinate plane, written in the form (x, y), where x is the horizontal position and y is the vertical position.

Front

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

Back

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

Front

What is the distance between the points (4, -6) and (4, 10)?

Back

The distance is 16 units, calculated as d = |10 - (-6)| = 16.

Front

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

Back

The x-axis is the horizontal line that represents the value of x, while the y-axis is the vertical line that represents the value of y. Together, they form the basis for locating points.

Front

What does it mean for a point to be in Quadrant I?

Back

A point in Quadrant I has both x and y coordinates positive (x > 0, y > 0).

Front

What does it mean for a point to be in Quadrant II?

Back

A point in Quadrant II has a negative x coordinate and a positive y coordinate (x < 0, y > 0).

Front

What does it mean for a point to be in Quadrant III?

Back

A point in Quadrant III has both x and y coordinates negative (x < 0, y < 0).