Graphing Systems of Equations

Section 6.1

6.1 Topic Focus

I can…

Graph a system of equations

Determine the solution to a system of equations given a graph

How do I apply vocabulary to systems of equations?

How do I apply vocabulary to systems of equations?Example 1 Use the graph to determine whether the

system is… Consistent or Inconsistent

Dependent or Independent

How many solutions?

How do I apply vocabulary to systems of equations?Example 2 Use the graph to determine whether the

system is… Consistent or Inconsistent

Dependent or Independent

How many solutions?

How do I apply vocabulary to systems of equations?Example 3 Use the graph to determine whether the

system is… Consistent or Inconsistent

Dependent or Independent

How many solutions?

Reflect on what you’ve just learned!

Write down one thing you learned.

Write down one question you have or one thing that is still challenging.

Group Activity Determine whether each system is

consistent or inconsistent, dependent or independent, and find the solution.

and

and

and

and

How do I graph systems of equations?Example 1 Graph the system of equations and determine

the solution

How do I graph systems of equations?Example 2 Graph the system of equations and determine

the solution

How do I graph systems of equations?Example 3 Graph the system of equations and determine

the solution

How do I graph systems of equations?Example 4 Graph the system of equations and determine

the solution

Reflect on what you’ve just learned!

Write down one thing you learned.

Write down one question you have or one thing that is still challenging.

Partner PracticeGraph the system and determine the solution.

Graph the system and determine the solution.

How do I write and solve a system of equations using a graph?Example 1 Joe and Josh each want to buy a video game.

Joe has and saves per week. Josh has and saves per week. In how many weeks will they have the same amount of money?

How do I write and solve a system of equations using a graph?Example 2 Alberto and Ashanti are reading a novel.

Alberto has read 35 pages and plans to read 20 pages per day. Ashanti has read 85 pages and plans to read 10 pages per day. How long will it take for them to be on the same page?

Reflect on what you’ve just learned!

Write down one thing you learned.

Write down one question you have or one thing that is still challenging.