Graphing Systems of Equations & Inequalities

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Solve the system of inequalities by graphing.

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Which system of inequality is shown?

• y > -1/5x - 1/2

  y ≥ -2x - 4

• y > -1/5x - 1/2

  y ≤ -2x - 4

• y ≥ -1/5x - 1/2

  y ≤ -2x - 4

• y < -1/5x - 1/2

  y ≥ -2x - 4

Solve the system of equations by graphing.

• (-4, 1)

• (4, -1)

• (4, 5)

• (5, 4)

Solve the system of equations by graphing.

• (2, 1)

• No Solution

• Infinitely Many Solutions

• (1, 2)

What is the solution to the graph of the system of linear equations?

•  $\left(-2,\ 7\right)$  

•  $\left(2,\ -7\right)$  

•  $\left(7,\ -2\right)$  

•  $\left(-7,\ 2\right)$  

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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What are the slope and y-intercept of the following linear function?

 $f\left(x\right)=-\frac{4}{5}x-4$  

•  $m=4,\ b=\frac{4}{5}$  

•  $m=\frac{4}{5},\ b=4$  

•  $m=-4,\ b=-\frac{4}{5}$  

•  $m=-\frac{4}{5},\ b=-4$  

Identify two solutions for the inequalities systems

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)