Special Systems of Linear Equations Slope and Intercept

Solve the following system of equations using your graphing calculator. You will need to re-arrange from standard form to graph in slope-intercept form. Round to the nearest hundreth decimal value to report your final answer (Section 3.1)

• (0.53, 1.24)

• (0.24, -1.81)

• (1.83, -2.23)

• (4.41, -0.93)

Solve the following system of equations using the process of substitution. If your results involve a special case of linear systems, classify the appropriate response as "infinitely many solutions" or "no real solutions." (Section 3.2)

• No Real Solutions

• Infinitely Many Solutions

• (0, 9)

• (10, -1)

Which of the following options is a solution to the system provided? Confirm by directly plugging in the solutions below to the system (Section 3.1):

• (3, 2)

• (2, 3)

• (4, 1)

• (1, 4)

Parallel Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Intersecting Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Coincident Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent intersecting lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• x = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent coincidental lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which image shows a system of linear equations with infinitely many solutions?

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