Solving Systems of Linear Equations by Graphing

What is the primary goal of learning to graph systems of linear equations?

• To learn calculus

• To plot non-linear equations

• To graph and solve systems of linear equations

• To solve quadratic equations

What does a solution of a system of linear equations in two variables represent?

• A graphical representation of the equations

• An ordered pair that is a solution to each equation in the system

• A pair of numbers that satisfies none of the equations

• A pair of numbers that satisfies one equation

What is the y-intercept of the equation y = -3x - 8?

• 0

• 8

• -8

• -3

What is the slope of the equation y = 1/2x - 1?

• 1/2

• -1/2

• -1

• 1

Where do the graphs of two equations in a system intersect?

• At multiple points

• At no point

• At a single point which is the solution of the system

• At the origin only

What does the intersection point of two lines on a graph represent in the context of systems of equations?

• A random point on the graph

• The solution to the system of equations

• The point where both equations have different y-intercepts

• The point where both equations have the same slope

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

• Check the solutions

• Graph each equation on the same coordinate plane

• Calculate the slopes

• Identify the intersection point

How do you verify that an ordered pair is a solution to both equations in the system?

• By graphing the equations again

• By asking a teacher

• By substituting the pair into one equation

• By substituting the pair into each equation and checking if the equations are satisfied

After graphing two equations, what is the next step to find their solution?

• Solve algebraically

• Draw a new graph

• Identify where the lines intersect

• Erase the graphs

How can you check if an ordered pair is the solution to the system of equations?

• By ensuring the pair is on the graph

• By checking if the pair satisfies both equations

• By confirming the pair is not on the graph

• By checking if the pair satisfies at least one equation