Lesson: Solve Systems by Graphing

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes? ​

(you will need to take a picture and upload it at the end)

• YES I have my notebook out

• No, I know it means a bad grade

Solving Systems by Graphing

Objective: Solve systems of equations by graphing

Multiple Choice

WARM-UP

Which point is a solution to the system of equations?

y = 2x - 2

x + y = 7

• (-3, 4)

• (-3, -4)

• (3,-4)

• (3,4)

Graph: y = 2x - 2

​Let's Graph Each Line from the WARM-UP

Graph: x + y = 7

Multiple Choice

Here are both graphs. At what point do these two lines cross?

• (3,4)

• (4,3)

• (-3,4)

• (-4,3)

• (3,-4)

y = 2x - 2

x + y = 7

​Take (3,4) and plug it into both

EXAMPLE

​Solve the system

​and

Graphing

The line $$y=-\frac{1}{3}x-2$$ is graphed. Graph the line $$y=\frac{1}{3}x+4$$ to find the solution.

EXAMPLE

​Solve the system

​and

Graphing

The line $$y=-4x-9$$ is graphed. Graph the line $$x+4y=8$$ to find the solution.