Solving Systems by Graphing

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

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8B

What are the steps for graphing a line?

• 1. Plot y-intercept
  2. count slope ratio plot second point
  3. Draw the line.
• 1. Make a table
  2. Plot slope
  3. Draw line
• 1. Plot two points
  2. Check slope
  3. Draw line
• 1. Draw line
  2. Hope it is right

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.HSA.REI.D.12

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8B

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

Tags

CCSS.8.EE.C.8C

How many solutions will this system have?

• No Solution
• Infinitely Many Solutions
• No Clue
• One solution

Tags

CCSS.8.EE.C.8A

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