How to Solve a System of Linear Equations By Graphing

What is a system of linear equations?

• A set of two or more linear equations with different variables

• A single linear equation

• A set of two or more linear equations with the same variables

• A quadratic equation

What does the intersection point of two lines on a graph represent?

• The slope of the lines

• The solution to the system of equations

• The midpoint of the lines

• The y-intercept of the lines

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

• Solve algebraically

• Graph each equation on the same coordinate plane

• Check the solution

• Identify the point of intersection

How do you verify the solution of a system of equations?

• By checking if the solution satisfies only one equation

• By substituting the solution into both equations

• By graphing only one equation

• By finding the midpoint of the lines

In the example problem, what is the solution to the system of equations?

• (-1, 1)

• (2, 3)

• (0, 0)

• (-2, -2)

What is the slope of a line if it rises 1 and runs 2?

• 1/2

• 2

• -2

• -1/2

What is the y-intercept of the line y = 1/2x + 0?

• -1

• 2

• 0

• 1/2

Which ordered pair is a solution to the system of equations in the final example?

• (3, 1)

• (1, 3)

• (4, 2)

• (2, 4)

What is the result of substituting x = 2 and y = 3 into the equation 2x - 1 = y?

• False

• True

• Depends on the graph

• Cannot be determined

Which of the following is NOT a step in solving a system by graphing?

• Graph each equation

• Identify the intersection point

• Solve using matrices

• Check the solution