Solving Systems of Equations Graphically

The video tutorial explains how to solve a system of equations by graphing. It covers converting equations to slope-intercept form, graphing each equation, and identifying the intersection point as the solution. The tutorial also demonstrates how to verify the solution by substituting the intersection point back into the original equations.

What is the solution to a system of equations when the lines do not intersect?

• There are infinite solutions.

• There are two solutions.

• There is no solution.

• There is one solution.

What form is the easiest to graph from?

• Quadratic form

• Slope-intercept form

• Standard form

• Point-slope form

What is the slope of the first equation after converting it to slope-intercept form?

• 2

• -2

• 1/2

• -1/2

Where do you start graphing the first equation?

• At the origin

• At the y-intercept

• At the x-intercept

• At any point on the line

What is the slope of the second equation after converting it to slope-intercept form?

• -2/3

• 2/3

• -3/2

• 3/2

Where do you start graphing the second equation?

• At the origin

• At the y-intercept

• At the x-intercept

• At any point on the line

What is the intersection point of the two lines in this example?

• (2, 2)

• (-2, -2)

• (-2, 2)

• (2, -2)

In an ordered pair, which coordinate comes first?

• It doesn't matter

• X-coordinate

• Y-coordinate

• Both coordinates are the same

What should you do to verify the solution of the system of equations?

• No need to verify

• Check the solution in only one equation

• Check the solution in both equations

• Check the solution in a different equation

What is the result when you substitute x = 2 and y = -2 into the first equation?

• 2

• 4

• -2

• 0