Graphing Systems of Linear Equations and Determining Solutions

This video tutorial teaches how to determine if a system of two linear equations in two variables has one solution by graphing. It covers the slope-intercept form of an equation, how to graph equations, and how to solve systems of equations by converting them to slope-intercept form. The tutorial includes examples to illustrate the process of finding solutions by graphing and emphasizes the importance of correct notation.

What is the slope in the equation y = 2x + 1?

• 2

• -1

• 1

• 0

Which of the following is the y-intercept of the equation y = 2x + 1?

• -1

• 2

• 1

• 0

What is the first step in converting an equation to slope-intercept form?

• Multiply both sides by 2

• Add the coefficients

• Solve for y

• Solve for x

In the equation y = -3/2x + 2, what is the slope?

• -3/2

• 2

• 3/2

• -2

What does it mean when two lines intersect at a point on a graph?

• The lines are identical

• The system has one solution

• The system has no solution

• The lines are parallel

For the system of equations y = x - 1 and y = 2x + 2, what is the solution point?

• (0, 1)

• (1, 0)

• (1, 1)

• (2, 2)

In the equation y = 4x, what is the y-intercept?

• 0

• 4

• 1

• -4