3 Vocabulary Terms - Define/Illustrate
Coordinate plane
x-coordinate/ y-coordinate
Order pair
1. Coordinate plane: A coordinate plane is a two-dimensional surface formed by two perpendicular lines, the x-axis and the y-axis, which intersect at a point called the origin. It is used to represent the positions of points in space and graph mathematical equations.
Illustration: In the coordinate plane shown below, the x-axis is the horizontal line and the y-axis is the vertical line. The point where they intersect (0,0) is the origin. Any point on the plane can be located by its x and y coordinates.
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(+y) o (0,0) -->(+x)
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2. x-coordinate/ y-coordinate: In a coordinate system, the x-coordinate represents the horizontal position or distance of a point from the y-axis, while the y-coordinate represents the vertical position or distance of a point from the x-axis.
Illustration: If we have a point P in the coordinate plane with coordinates (3, 5), the x-coordinate of P is 3, and the y-coordinate is 5. This means that P is located 3 units to the right and 5 units upwards from the origin.
3. Ordered pair: An ordered pair is a pair of numbers used to represent the coordinates of a point in a coordinate plane. The first number in the pair represents the x-coordinate, and the second number represents the y-coordinate.
Illustration: Consider the ordered pair (2, -4). The number 2 represents the x-coordinate, and -4 represents the y-coordinate. This ordered pair represents a point that is located 2 units to the right and 4 units downwards from the origin.
Plot the following points:
3,7
-4,5
SHOW ALL WORK
To plot the points (3,7) and (-4,5) on a coordinate plane, follow these steps:
1. Draw the x-axis and the y-axis on a piece of graph paper, making sure they intersect at the origin (0,0).
2. Locate the point (3,7):
- Start at the origin (0,0).
- Move 3 units to the right along the x-axis.
- From that position, move 7 units upwards along the y-axis.
- Mark this position as the point (3,7).
3. Locate the point (-4,5):
- Start at the origin (0,0).
- Move 4 units to the left along the x-axis.
- From that position, move 5 units upwards along the y-axis.
- Mark this position as the point (-4,5).
The graph should show two points:
- (3,7) located to the right and above the origin.
- (-4,5) located to the left and above the origin.
Please note that each unit on the graph paper represents one unit on the coordinate plane.
just do it as if it were online and you were doing it
I'm sorry, but as a text-based AI, I don't have the capability to visually plot points on a coordinate plane. However, I can guide you through the process step by step:
1. Draw the x-axis and the y-axis on a piece of paper or imagine it in your mind, ensuring that they intersect at the origin (0,0).
2. To plot the point (3,7):
- Start from the origin.
- Move 3 units to the right along the x-axis.
- From that position, move 7 units upwards along the y-axis.
- Mark this position as the point (3,7).
3. To plot the point (-4,5):
- Start from the origin.
- Move 4 units to the left along the x-axis.
- From that position, move 5 units upwards along the y-axis.
- Mark this position as the point (-4,5).
Once you have followed these steps, you should have two distinct points on the coordinate plane.
Plot the following points:
-6,-1
6,-7
do this one the same way
To plot the points (-6,-1) and (6,-7) on a coordinate plane, follow these steps:
1. Draw the x-axis and the y-axis on a piece of graph paper, making sure they intersect at the origin (0,0).
2. Locate the point (-6,-1):
- Start at the origin (0,0).
- Move 6 units to the left along the x-axis.
- From that position, move 1 unit downwards along the y-axis.
- Mark this position as the point (-6,-1).
3. Locate the point (6,-7):
- Start at the origin (0,0).
- Move 6 units to the right along the x-axis.
- From that position, move 7 units downwards along the y-axis.
- Mark this position as the point (6,-7).
The graph should show two points:
- (-6,-1) located to the left and above the origin.
- (6,-7) located to the right and below the origin.
Please note that each unit on the graph paper represents one unit on the coordinate plane.
Plot the following points:
5,0
0,5
Do this one too
To plot the points (5,0) and (0,5) on a coordinate plane, follow these steps:
1. Draw the x-axis and the y-axis on a piece of graph paper, ensuring that they intersect at the origin (0,0).
2. Locate the point (5,0):
- Start at the origin (0,0).
- Move 5 units to the right along the x-axis.
- Since the y-coordinate is 0, there is no vertical movement.
- Mark this position as the point (5,0).
3. Locate the point (0,5):
- Start at the origin (0,0).
- Since the x-coordinate is 0, there is no horizontal movement.
- Move 5 units upwards along the y-axis.
- Mark this position as the point (0,5).
The graph should show two points:
- (5,0) located on the positive x-axis, to the right of the origin.
- (0,5) located on the positive y-axis, above the origin.
Please note that each unit on the graph paper represents one unit on the coordinate plane.
Plot the following points:
-5,0
0,-5
To plot the points (-5,0) and (0,-5) on a coordinate plane, follow these steps:
1. Draw the x-axis and the y-axis on a piece of graph paper, ensuring that they intersect at the origin (0,0).
2. Locate the point (-5,0):
- Start at the origin (0,0).
- Move 5 units to the left along the x-axis.
- Since the y-coordinate is 0, there is no vertical movement.
- Mark this position as the point (-5,0).
3. Locate the point (0,-5):
- Start at the origin (0,0).
- Since the x-coordinate is 0, there is no horizontal movement.
- Move 5 units downwards along the y-axis.
- Mark this position as the point (0,-5).
The graph should show two points:
- (-5,0) located on the negative x-axis, to the left of the origin.
- (0,-5) located on the negative y-axis, below the origin.
Please note that each unit on the graph paper represents one unit on the coordinate plane.
What is the difference between y-axis and x-axis?
The difference between the y-axis and x-axis lies in their orientation and the type of data they represent:
1. Y-Axis: The y-axis is the vertical line in a coordinate plane. It runs vertically from top to bottom and intersects with the x-axis at the origin. The y-axis represents the values or measurements along the vertical dimension of the plane. It is often referred to as the "vertical axis."
2. X-Axis: The x-axis is the horizontal line in a coordinate plane. It runs horizontally from left to right and intersects with the y-axis at the origin. The x-axis represents the values or measurements along the horizontal dimension of the plane. It is often referred to as the "horizontal axis."
In summary, the y-axis is the vertical line that represents the vertical measurements or values, whereas the x-axis is the horizontal line that represents the horizontal measurements or values. Together, they form a coordinate system that allows for the representation of points and the graphing of functions and equations.
make each one short
Y-Axis: The y-axis is the vertical line representing vertical measurements or values in a coordinate plane.
X-Axis: The x-axis is the horizontal line representing horizontal measurements or values in a coordinate plane.