Solve Systems of Equations by Graphing

Multiple Choice

Is (-2,9) a solution to the system of equations y = -2x + 5 and y = x - 4?

• Yes, because it satisfies both equations.

• No, because it only satisfies one equation.

• No, because it satisfies neither equation.

• Yes, because it satisfies at least one equation.

Open Ended

What is the significance of being able to solve a system of equations by graphing?

Multiple Choice

When solving a system of equations by graphing, what does the point of intersection represent?

• The solution to both equations

• The midpoint of the lines

• The y-intercept of the first equation

• The x-intercept of the second equation

Multiple Choice

Which of the following systems of equations will have exactly one solution when graphed?

• y = 2x + 1 and y = 2x - 3

• y = -x + 4 and y = x - 4

• y = 3x + 2 and y = 3x + 2

• y = 0.5x + 1 and y = 0.5x - 2

Fill in the Blanks

Fill in the blank: The equation x =

represents a vertical line on the coordinate plane.

Open Ended

After learning about solving systems of equations by graphing, do you have any questions or would you like to know more about a specific case?