5.2 Graphing Systems

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

Tags

CCSS.8.EE.C.8B

^{What is the solution?} 

Tags

CCSS.8.EE.C.8B

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.8.EE.C.8A

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 have two solutions.

Tags

CCSS.8.EE.C.8A

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

How many solutions will this system have? 

• No solution
• One Solution
• Two solutions

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

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

• Intersecting lines
• Same line
• Parallel lines

Tags

CCSS.8.EE.C.8A

Which ordered pair is the solution to this system?

HINT: plug the x number into the x in each equation and plug the y number into the y in each equation and solve to see which one works for BOTH!)

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6