Graphs of Equations with Two Variables

A line that separate the coordinate plane into two regions

• Axis

• Boundary Line

• Symbol

• Divider

Tags

CCSS.HSA.REI.D.12

What is the solution to the system of linear equations from the graph?

• No solution

• Infinite Solutions

• (0,1)

• (1,0)

• 1

Tags

CCSS.8.EE.C.8B

A system has no solution.

We know that the slopes are ​ (a)   and the y-intercepts are ​ (b)   .

• the same

• different

• the same or different

Tags

CCSS.8.EE.C.8A

Match the following graphs to their equations.

• y=2x+1

• 
• y=-x+2

• 
• y=x+2

• 
• y=-2x+1

• 

Tags

CCSS.HSF-IF.C.7E

A solution to a system tells us when...

• x and y are the SAME for both equations

• x is GREATER than y on one equation

• y is GREATER than x on one equation

• x and y START on the graph

Tags

CCSS.8.EE.C.8B

Solve the following system of equations by graphing.

y = -x + 5

y = 6x - 2

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

Solve the following system of equations by graphing.

–4x + 3y = –12

–2x + 3y = –18

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

What is the solution to a system? Choose all that apply.

• An ordered pair that makes both equations true.

• An ordered pair that makes one equation true.

• The point where the graphs meet (touch).

• The points on the graphs where they touch the y-axis.

Tags

CCSS.8.EE.C.8B

What type of lines result in one solution when graphing a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines

Tags

CCSS.8.EE.C.8A

What type of lines result in infinitely many solutions when graphing a system of equations?

• parallel lines

• intersecting lines

• coinciding lines (lines that lie on top of one another)

• no lines

Tags

CCSS.8.EE.C.8B