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Algebra 1

2.3.1 Finding Connections between Graphs and Equations

Algebra 12.3.1 Finding Connections between Graphs and Equations

2.3.1 Finding Connections between Graphs and Equations

2.3.1 • Finding Connections between Graphs and Equations

Warm Up

Use the following information to answer questions 1 – 8. Here are graphs of two equations in a system.

Determine if each of these systems could be represented by the graphs. Be prepared to explain how you know.
1.

{ x + 2 y = 8 x = − 5 { x + 2 y = 8 x = − 5

2.

How do you know if the system of equations in question 1 could be represented by the graph?

3.

{ y = − 7 x + 13 y = − 1 { y = − 7 x + 13 y = − 1

4.

How do you know if the system of equations in question 3 could be represented by the graph?

5.

{ 3 x = 8 3 x + y = 15 { 3 x = 8 3 x + y = 15

6.

How do you know if the system of equations in question 5 could be represented by the graph?

7.

{ y = 2 x − 7 4 + y = 12 { y = 2 x − 7 4 + y = 12

8.

ow do you know if the system of equations in question 7 could be represented by the graph?

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