Solving Systems by Graphing - equations and inequalities

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Identify two solutions for the inequalities systems

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

which equation best represents this graph?

• y < 1/2x + 1

• y < 1/2x + 2

• y >1/2x + 2

• y > 2x

Select the graph for y >  -2x - 3

• A
• B
• C
• D

How many solutions will this system have? 

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

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. 

Match the system to the graph. 

• y ≥ -x - 1 and y < x + 4
• y < -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form
• Get x by itself
• Compare the slopes of both equations
• Write both equations in standard form

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