Systems of Equations My Graphing

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve the system of inequalities by graphing.

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• 
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Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Identify all solutions for the graph

• (2, 3)

• (4, -2)

• (2, -4)

• (-2, 0)

Which is the graph of the system of inequalities shown below?

y > 8 – 3x

y ≤ 2x – 1

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• 
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Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y = -x - 1
  y ≥ x + 4

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Answer explanation

These lines intersect at ONE point. This means that only one point will be true for the equations of both lines.

What does a "solution to a system of equations" mean?

• It's the point where both equations equal zero

• It's the point where graphs of both equations cross the y-axis

• It's the point that is true for both equations at the same time

• It's the point where graphs of both equations cross the x-axis

Answer explanation

A solution to a system of equations is a point that will work in all equations within the system.

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Answer explanation

The lines overlap everywhere, so they have the same equation.

This means the solutions for one equation are also the solutions for the other.

The lines go on infinitely in both directions, so there are an infinite number of points that are shared solutions.