Here are the possible graphs that could

Oct 13, 2025 by magicalceylontours.com 20 views

Introduction

In mathematics, a linear relationship is a type of relationship between two variables where one variable is a constant multiple of the other. This relationship can be represented graphically as a straight line. In this article, we will explore a given table that represents a linear relationship and determine which of the provided graphs accurately depicts this relationship.

The Given Table

The table provided represents a linear relationship between two variables, x and y. The table is as follows:

x	y
-1	2
0	0
1	-2
2	-4

Analyzing the Table

To understand the linear relationship represented by the table, we need to examine the pattern of the data. Looking at the table, we can see that as the value of x increases by 1, the value of y decreases by 2. This consistent change in the value of y for a given change in the value of x indicates a linear relationship.

Determining the Slope

The slope of a linear relationship is a measure of how much the value of y changes for a given change in the value of x. In this case, the slope can be calculated as follows:

Slope = (change in y) / (change in x) = (-4 - 0) / (2 - 0) = -4 / 2 = -2

Interpreting the Slope

The slope of -2 indicates that for every 1 unit increase in the value of x, the value of y decreases by 2 units. This is consistent with the pattern observed in the table.

Graphical Representation

Now that we have analyzed the table and determined the slope, we can represent the linear relationship graphically. The graph will be a straight line with a slope of -2.

Which Graph Shows the Linear Relationship?

Given the slope of -2, we can determine which of the provided graphs accurately depicts the linear relationship. The correct graph will be a straight line with a slope of -2.

Conclusion

In conclusion, the given table represents a linear relationship between two variables, x and y. By analyzing the table and determining the slope, we can accurately represent the linear relationship graphically. The correct graph will be a straight line with a slope of -2.

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphs

Here are the possible graphs that could represent the linear relationship:

Graph 1

x	y
-1	2
0	0
1	-2
2	-4

Graph 2

x	y
-1	2
0	0
1	-2
2	-4

Graph 3

x	y
-1	2
0	0
1	-2
2	-4

Graph 4

x	y
-1	2
0	0
1	-2
2	-4

Graph 5

x	y
-1	2
0	0
1	-2
2	-4

Graph 6

x	y
-1	2
0	0
1	-2
2	-4

Graph 7

x	y
-1	2
0	0
1	-2
2	-4

Graph 8

x	y
-1	2
0	0
1	-2
2	-4

Graph 9

x	y
-1	2
0	0
1	-2
2	-4

Graph 10

x	y
-1	2
0	0
1	-2
2	-4

Which Graph is Correct?

The correct graph that shows the linear relationship is the one with a slope of -2.

Explanation

The correct graph is the one that accurately represents the linear relationship between the variables x and y. The graph with a slope of -2 is the correct graph.

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphical Representation

The graph with a slope of -2 is the correct graph.

Conclusion

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphs

Here are the possible graphs that could represent the linear relationship:

Graph 1

x	y
-1	2
0	0
1	-2
2	-4

Graph 2

x	y
-1	2
0	0
1	-2
2	-4

Graph 3

x	y
-1	2
0	0
1	-2
2	-4

Graph 4

x	y
-1	2
0	0
1	-2
2	-4

Graph 5

x	y
-1	2
0	0
1	-2
2	-4

Graph 6

x	y
-1	2
0	0
1	-2
2	-4

Graph 7

x	y
-1	2
0	0
1	-2
2	-4

Graph 8

x	y
-1	2
0	0
1	-2
2	-4

Graph 9

x	y
-1	2
0	0
1	-2
2	-4

Graph 10

x	y
-1	2
0	0
1	-2
2	-4

Which Graph is Correct?

The correct graph that shows the linear relationship is the one with a slope of -2.

Explanation

The correct graph is the one that accurately represents the linear relationship between the variables x and y. The graph with a slope of -2 is the correct graph.

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphical Representation

The graph with a slope of -2 is the correct graph.

Conclusion

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphs

Here are the possible graphs that could represent the linear relationship:

Graph 1

x	y
-1	2
0	0
1	-2
2	-4

Graph 2

x	y
-1	2
0	0
1	-2
2	-4

Graph 3

x	y
-1	2
0	0
1	-2
2	-4

Graph 4

x	y
-1	2
0	0
1	-2
2	-4

Graph 5

x	y
-1	2
0	0
1	-2
2	-4

Graph 6

x	y

Q&A: Linear Relationships and Graphical Representation

Q: What is a linear relationship?

A: A linear relationship is a type of relationship between two variables where one variable is a constant multiple of the other. This relationship can be represented graphically as a straight line.

Q: How do I determine the slope of a linear relationship?

A: To determine the slope of a linear relationship, you need to examine the pattern of the data. The slope can be calculated as follows:

Slope = (change in y) / (change in x)

Q: What is the significance of the slope in a linear relationship?

A: The slope of a linear relationship is a measure of how much the value of y changes for a given change in the value of x. It indicates the rate of change of the relationship.

Q: How do I represent a linear relationship graphically?

A: A linear relationship can be represented graphically as a straight line. The graph will have a slope equal to the slope of the linear relationship.

Q: What is the correct graph that shows the linear relationship?

A: The correct graph that shows the linear relationship is the one with a slope of -2.

Q: How do I determine which graph is correct?

A: To determine which graph is correct, you need to examine the slope of each graph. The graph with a slope of -2 is the correct graph.

Q: What is the significance of the correct graph?

A: The correct graph accurately represents the linear relationship between the variables x and y.

Q: How do I use the correct graph to understand the linear relationship?

A: You can use the correct graph to understand the linear relationship by examining the slope and the pattern of the data.

Q: What are the implications of the linear relationship?

A: The linear relationship has implications for the variables x and y. It indicates that for every 1 unit increase in the value of x, the value of y decreases by 2 units.

Q: How do I apply the linear relationship in real-world scenarios?

A: You can apply the linear relationship in real-world scenarios by using it to model and analyze data. It can be used in fields such as economics, physics, and engineering.

Q: What are the limitations of the linear relationship?

A: The linear relationship has limitations. It assumes that the relationship between the variables x and y is constant and does not change over time.

Q: How do I extend the linear relationship to more complex relationships?

A: You can extend the linear relationship to more complex relationships by using techniques such as regression analysis and non-linear modeling.

Conclusion

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphical Representation

The graph with a slope of -2 is the correct graph.

Conclusion

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphs

Here are the possible graphs that could represent the linear relationship:

Graph 1

x	y
-1	2
0	0
1	-2
2	-4

Graph 2

x	y
-1	2
0	0
1	-2
2	-4

Graph 3

x	y
-1	2
0	0
1	-2
2	-4

Graph 4

x	y
-1	2
0	0
1	-2
2	-4

Graph 5

x	y
-1	2
0	0
1	-2
2	-4

Graph 6

x	y
-1	2
0	0
1	-2
2	-4

Graph 7

x	y
-1	2
0	0
1	-2
2	-4

Graph 8

x	y
-1	2
0	0
1	-2
2	-4

Graph 9

x	y
-1	2
0	0
1	-2
2	-4

Graph 10

x	y
-1	2
0	0
1	-2
2	-4

Which Graph is Correct?

The correct graph that shows the linear relationship is the one with a slope of -2.

Explanation

The correct graph is the one that accurately represents the linear relationship between the variables x and y. The graph with a slope of -2 is the correct graph.

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphical Representation

The graph with a slope of -2 is the correct graph.

Conclusion

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphs

Here are the possible graphs that could represent the linear relationship:

Graph 1

x	y
-1	2
0	0
1	-2
2	-4

Graph 2

x	y
-1	2
0	0
1	-2
2	-4

Graph 3

x	y
-1	2
0	0
1	-2
2	-4

Graph 4

x	y
-1	2
0	0
1	-2
2	-4

Graph 5

x	y
-1	2
0	0
1	-2
2	-4

Graph 6

x	y
-1	2
0	0
1	-2
2	-4

Graph 7

x	y
-1	2
0	0
1	-2
2	-4

Graph 8

x	y
-1	2
0	0
1	-2
2	-4

Graph 9

x	y
-1	2
0	0
1	-2
2	-4

Graph 10

x	y
-1	2
0	0
1	-2
2	-4

Which Graph is Correct?

The correct graph that shows the linear relationship is the one with a slope of -2.

Explanation

The correct graph is the one that accurately represents the linear relationship between the variables x and y. The graph with a slope of -2 is the correct graph.

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphical Representation

The graph with a slope of -2 is the correct graph.

Conclusion

Answer

The correct graph that shows the linear relationship is the one with a slope of -2.

Graphs

Here are the possible graphs that could