Graphing Systems & Standard Form

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. 

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

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

• (3, -2)
• (3, -3)
• (-3, 2)
• (-3, -2)

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

• Infinity
• (3, 3)
• (3, -3)
• (-3, 3)

Based on the equations for each line, determine how many solutions the system would have.

• Infinite Number of Solutions

• No Solution

• One Solution

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

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

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

• Intersecting lines
• Same line
• Parallel lines

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

• Parallel lines
• the same line 
• Intersecting lines

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution