Graphing on 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). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What does the ordered pair (x, y) represent?

Back

In the ordered pair (x, y), 'x' represents the horizontal position on the x-axis, and 'y' represents the vertical position on the y-axis.

Front

What are the four quadrants of a coordinate plane?

Back

Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -).

Front

Where is the origin located on the coordinate plane?

Back

The origin is located at the point (0, 0) where the x-axis and y-axis intersect.

Front

How do you identify the quadrant of a point?

Back

To identify the quadrant of a point (x, y), check the signs of x and y: Quadrant I (both positive), Quadrant II (x negative, y positive), Quadrant III (both negative), Quadrant IV (x positive, y negative).

Front

What does it mean if a point has a negative x-coordinate?

Back

A negative x-coordinate means the point is located to the left of the origin on the x-axis.

Front

What does it mean if a point has a negative y-coordinate?

Back

A negative y-coordinate means the point is located below the origin on the y-axis.

Front

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

Back

Start at the origin (0, 0), move 3 units to the right (positive x-direction), and then move 2 units up (positive y-direction).

Front

What is the distance between the points (1, 2) and (1, 5)?

Back

The distance is 3 units, as they share the same x-coordinate and differ by 3 in the y-coordinate.

Front

What is the distance between the points (4, 3) and (0, 3)?

Back

The distance is 4 units, as they share the same y-coordinate and differ by 4 in the x-coordinate.