Coordinate Plane Review Warm Up

Front

What is the definition of the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal number line (X-axis) and a vertical number line (Y-axis).

Front

What does an ordered pair represent in the coordinate plane?

Back

An ordered pair (x, y) represents a specific point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the X-axis?

Back

The X-axis is the horizontal number line on the coordinate plane, where the values increase from left to right.

Front

What is the Y-axis?

Back

The Y-axis is the vertical number line on the coordinate plane, where the values increase from bottom to top.

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the X-axis and Y-axis intersect.

Front

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

Back

The coordinate plane is divided into four quadrants: 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 from the origin to the point (3, 4)?

Back

The distance is 5 units, calculated using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for a point to be on the X-axis?

Back

A point is on the X-axis if its Y-coordinate is 0, represented as (x, 0).

Front

What does it mean for a point to be on the Y-axis?

Back

A point is on the Y-axis if its X-coordinate is 0, represented as (0, y).