Graphing on the Coordinate Plane

Front

What is the coordinate plane?

Back

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 the axes in the coordinate plane?

Back

The x-axis (horizontal) and y-axis (vertical) are the two perpendicular lines that define the coordinate plane.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point's position on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you plot the point (3, 4)?

Back

Start at the origin (0, 0), move 3 units to the right (x-axis), and then 4 units up (y-axis).

Front

What does the point (0, 0) represent?

Back

The origin, which is the point where the x-axis and y-axis intersect.

Front

What is the significance of the x-coordinate?

Back

It indicates the horizontal position of a point on the coordinate plane.

Front

What is the significance of the y-coordinate?

Back

It indicates the vertical position of a point on the coordinate plane.

Front

How do you identify the quadrant of a point?

Back

By looking at the signs of the x and y coordinates: Quadrant I (positive, positive), Quadrant II (negative, positive), Quadrant III (negative, negative), Quadrant IV (positive, negative).

Front

What is the distance from the origin to the point (4, 3)?

Back

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

Front

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

Back

The y-coordinate of the point is 0, meaning it lies horizontally along the x-axis.