System of equations graphing & elimination

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

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

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

• Parallel lines
• the same line 
• Intersecting lines

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

• Intersecting lines
• Same line
• Parallel lines

Solve the system by graphing:
y = 6x - 4
y = -x + 3

• (1, 2)
• (2, 1)
• (4, 5)
• (2, 4)

What is the solution to the system?

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

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. 

Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?

• 20 minutes
• 15 minutes
• 10 minutes
• 5 minutes