Solving Linear Equations Graphically

The video tutorial demonstrates solving linear equations in one variable by graphing, using the intersection method. It provides two examples, showing how to graph equations and find the solution at the point of intersection. The tutorial also verifies solutions algebraically, ensuring accuracy.

What is the primary method discussed in the video for solving linear equations graphically?

• Substitution Method

• Elimination Method

• Intersection Method

• Matrix Method

In the intersection method, what do Y1 and Y2 represent?

• The x-coordinates of the graph

• The y-coordinates of the graph

• The left and right sides of the equation

• The slope and intercept of the line

What is the solution to the equation 3x - 2 = -8 when solved graphically?

• x = 2

• x = -8

• x = -2

• x = 0

How do you verify the solution of 3x - 2 = -8 algebraically?

• By checking the y-intercept

• By graphing the equation again

• By using the elimination method

• By substituting x = -2 into the equation

What is the y-coordinate of the point of intersection for the equation 3x - 2 = -8?

• 2

• 0

• -8

• -2

What is the graphical solution to the equation 2 = 6 - 2/3x?

• x = 0

• x = -6

• x = 6

• x = 2

How is the equation 2 = 6 - 2/3x verified algebraically?

• By checking the slope of the line

• By finding the y-intercept

• By using the substitution method

• By substituting x = 6 into the equation

What common factor is used in the algebraic verification of 2 = 6 - 2/3x?

• Factor of 6

• Factor of 3

• Factor of 1

• Factor of 2

What is the significance of the x-coordinate at the point of intersection?

• It is the midpoint of the line

• It is the y-intercept

• It represents the slope of the line

• It is the solution to the equation

What is the final step in graphically solving a linear equation using the intersection method?

• Calculating the slope

• Identifying the x-coordinate of the intersection

• Finding the y-intercept

• Checking the graph's symmetry