Using the Cartesian System (3.1.1)

Question 1

• x-Axis: The horizontal scale for measuring change on a graph.

Answer 1

• x-Axis: The horizontal scale for measuring change on a graph.

Question 2

• y-Axis: The vertical scale for measuring change on a graph.

Answer 2

• y-Axis: The vertical scale for measuring change on a graph.

Question 3

• Origin: The point where the two scales cross and both have a value of 0.
The coordinates of the origin are (0,0).

Answer 3

• Origin: The point where the two scales cross and both have a value of 0.
The coordinates of the origin are (0,0).

Question 4

• Cartesian Plane: The name for the system that uses the x- and y-axes.

Answer 4

• Cartesian Plane: The name for the system that uses the x- and y-axes.

Question 5

• Quadrants: The four areas that are created by drawing x- and y-axes on a plane.

Answer 5

• Quadrants: The four areas that are created by drawing x- and y-axes on a plane.

Question 6

• Ordered Pairs: The address of each point. It states the x-value first, then the y-value (x,y). By using this protocol, everyone in the world knows to start at the origin, (0,0) and move sideways as indicated by the x-value and vertically as indicated by the y-value.

Answer 6

• Ordered Pairs: The address of each point. It states the x-value first, then the y-value (x,y). By using this protocol, everyone in the world knows to start at the origin, (0,0) and move sideways as indicated by the x-value and vertically as indicated by the y-value.

Question 7

The x-Axis is a horizontal number line. It measures to the
right positively and to the left negatively. The y-Axis vertical number line. It measures up positively
and down negatively. Where these two line cross is called the Origin. Its address is (0,0). This system is called a Cartesian plane because a mathematician named Descartes invented it. The two axes divide the plane into four areas, or quadrants. Quadrant I contains all points where the x and y coordinates are positive.
Quadrant II contains all points where the x coordinates are negative and the y coordinates are positive.
Quadrant III contains all points where the x and y coordinates are negative. Quadrant IV contains all points where the x coordinates are positve and the y coodinates are negative. A point’s location is stated with a number showing how far horizontally from the origin the point is located, and a second number showing how far vertically the point is from the origin. The information is always horizontal (x) first, and vertical (y) second: (x,y). That’s why it’s called “ordered.” Plotting points is a matter of counting from the origin, (0,0), the indicated distance horizontally and vertically and plotting your point to mark the spot.

Answer 7

The x-Axis is a horizontal number line. It measures to the
right positively and to the left negatively. The y-Axis vertical number line. It measures up positively
and down negatively. Where these two line cross is called the Origin. Its address is (0,0). This system is called a Cartesian plane because a mathematician named Descartes invented it. The two axes divide the plane into four areas, or quadrants. Quadrant I contains all points where the x and y coordinates are positive.
Quadrant II contains all points where the x coordinates are negative and the y coordinates are positive.
Quadrant III contains all points where the x and y coordinates are negative. Quadrant IV contains all points where the x coordinates are positve and the y coodinates are negative. A point’s location is stated with a number showing how far horizontally from the origin the point is located, and a second number showing how far vertically the point is from the origin. The information is always horizontal (x) first, and vertical (y) second: (x,y). That’s why it’s called “ordered.” Plotting points is a matter of counting from the origin, (0,0), the indicated distance horizontally and vertically and plotting your point to mark the spot.