Graphing on the Coordinate Plane

Front

What is the coordinate plane?

Back

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

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent a point on the coordinate plane, written in the form (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: 1. Quadrant I: (x > 0, y > 0) 2. Quadrant II: (x < 0, y > 0) 3. Quadrant III: (x < 0, y < 0) 4. Quadrant IV: (x > 0, y < 0)

Front

What is the significance of Quadrant I?

Back

Quadrant I is where both x and y coordinates are positive. It is the top right section of the coordinate plane.

Front

How do you identify the coordinates of a point in Quadrant II?

Back

In Quadrant II, the x-coordinate is negative and the y-coordinate is positive, indicating a point located to the left of the y-axis and above the x-axis.

Front

What does the point (0, 0) represent on the coordinate plane?

Back

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

Front

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

Back

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

Front

What is the difference between positive and negative coordinates?

Back

Positive coordinates indicate positions to the right (for x) or above (for y) the origin, while negative coordinates indicate positions to the left (for x) or below (for y) the origin.

Front

What is the purpose of using whole number ordered pairs?

Back

Whole number ordered pairs are used to simplify the plotting of points on the coordinate plane, making it easier to visualize and understand their locations.

Front

How do you determine which quadrant a point is in?

Back

To determine the quadrant of a point (x, y), check the signs of x and y: - Quadrant I: x > 0, y > 0 - Quadrant II: x < 0, y > 0 - Quadrant III: x < 0, y < 0 - Quadrant IV: x > 0, y < 0