Solve system of linear equations by graphing

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Identical line
• Parallel lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

^{What is the solution to the system?} 

• (1,1)
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.8.EE.C.8B

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Tags

CCSS.8.EE.C.8B

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

Tags

CCSS.8.EE.C.8B

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11