Algebra 1: Graphs of Systems of Equations

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

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. 

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

In slope intercept form, y = mx + b, what does b represent?

• slope

• y intercept

• x intercept

• x

What is the solution to the system?

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

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

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

• Parallel lines
• the same line 
• Intersecting lines

Why will these graphs never cross?

• They have the same y-intercept.

• They have the same slope.

• They are both lines.

• They are both positive slopes.