Graphing Systems of Equations Mastery

The video tutorial covers graphing systems of equations, explaining key vocabulary such as consistent, independent, dependent, and inconsistent systems. It provides examples of graphing systems with one solution, infinite solutions, and no solutions. The tutorial also includes problem-solving techniques using graphing, demonstrating how to find and verify solutions.

What is the main goal when graphing systems of equations?

• To find the slope of each line

• To determine the y-intercept of each line

• To identify parallel lines

• To find a solution that works for all equations

What does it mean if a system of equations is consistent?

• It has no solutions

• It has an infinite number of solutions

• It has exactly one solution

• It has at least one solution

Which term describes a system of equations with exactly one solution?

• Inconsistent

• Dependent

• Independent

• Consistent

What is the characteristic of an inconsistent system of equations?

• The lines overlap completely

• The lines have different slopes

• The lines are parallel and never intersect

• The lines intersect at one point

In a system with infinite solutions, what is true about the lines?

• They are the same line

• They intersect at one point

• They have different slopes

• They are parallel

What is the slope of the equation y = 3x - 4?

• -4

• 3

• 4

• -3

What is the y-intercept of the equation y = -3x + 2?

• 3

• -3

• 2

• -2

What is the solution to the system of equations y = 3x - 4 and y = -3x + 2?

• (2, -2)

• (0, 0)

• (-1, 1)

• (1, -1)

How do you convert the equation 3y = -2x - 9 to slope-intercept form?

• y = -2/3x - 3

• y = 2/3x + 3

• y = 3/2x + 9

• y = -3/2x - 9

What is the intersection point of the equations y = 4/3x + 3 and y = -2/3x - 3?

• (-1, 3)

• (3, -3)

• (-3, -1)

• (1, -1)