Exploring the Coordinate Grid

What is the name of the horizontal axis in a coordinate grid?

• Y-axis

• X-axis

• Z-axis

• W-axis

Answer explanation

The horizontal axis in a coordinate grid is called the X-axis. It runs left to right and is used to represent the independent variable in a graph, while the Y-axis represents the dependent variable.

What is the name of the vertical axis in a coordinate grid?

• Y-axis

• X-axis

• Z-axis

• W-axis

Answer explanation

In a coordinate grid, the vertical axis is called the Y-axis. It represents the values of the dependent variable, while the horizontal axis is the X-axis, representing the independent variable.

What is the point called where the X-axis and Y-axis intersect?

• Intersection Point

• Origin

• Center

• Cross Point

Answer explanation

The point where the X-axis and Y-axis intersect is called the Origin. It is the coordinate (0,0) in a Cartesian plane, serving as the reference point for all other points.

In the coordinate pair (3, 5), what does the number 3 represent?

• Y-coordinate

• X-coordinate

• Z-coordinate

• W-coordinate

Answer explanation

In the coordinate pair (3, 5), the first number, 3, represents the X-coordinate, which indicates the horizontal position on the graph. The second number, 5, is the Y-coordinate, representing the vertical position.

In the coordinate pair (3, 5), what does the number 5 represent?

• Y-coordinate

• X-coordinate

• Z-coordinate

• W-coordinate

Answer explanation

In the coordinate pair (3, 5), the first number 3 represents the X-coordinate, while the second number 5 represents the Y-coordinate. Therefore, 5 is the Y-coordinate.

Which quadrant is the point (-4, 2) located in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Answer explanation

The point (-4, 2) has a negative x-coordinate and a positive y-coordinate, placing it in Quadrant II, where x is negative and y is positive.

Which quadrant is the point (5, -3) located in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Answer explanation

The point (5, -3) has a positive x-coordinate and a negative y-coordinate, which places it in Quadrant IV. In this quadrant, x is positive and y is negative.

What are the coordinates of the origin?

• (1, 1)

• (0, 0)

• (0, 1)

• (1, 0)

Answer explanation

The origin in a Cartesian coordinate system is defined as the point where both the x and y coordinates are zero. Therefore, the correct coordinates of the origin are (0, 0).

If a point is located at (0, 7), on which axis does it lie?

• X-axis

• Y-axis

• Z-axis

• W-axis

Answer explanation

The point (0, 7) has an x-coordinate of 0 and a y-coordinate of 7. Since it has a non-zero y-coordinate and a zero x-coordinate, it lies on the Y-axis.

If a point is located at (6, 0), on which axis does it lie?

• X-axis

• Y-axis

• Z-axis

• W-axis

Answer explanation

The point (6, 0) has a y-coordinate of 0, which means it lies on the x-axis. Points on the x-axis have the form (x, 0), confirming that the correct answer is the X-axis.