Graphing on Coordinate Systems

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Give the solution to the system

• (3,1)

• (1,3)

• (-1,3)

• No solution

Solve the system of inequalities by graphing.

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Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Which of the following is NOT a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Which system of inequalities matches the graph?

• x> -2
  y < -4

• x< 2
  y> 4

• x >  2
  y <  4  

• x > 2
  y <- 4

Which region of the graph represents the solution set to the system of inequalities below?

• Region A

• Region B

• Region C

• Region D

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

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)