Exploring Systems of Equations through Graphing

What is the first step in solving a system of equations by graphing?

• Finding the slope

• Defining the system

• Calculating the x-intercept

• Identifying the y-intercept

Which point is definitely on the line 2x + 3y = 12?

• (1, 1)

• (3, 3)

• (0, 4)

• (2, 2)

What is the y-value when x = 1 for the equation 2x + 3y = 12?

• 3

• 2

• 4

• 10/3

How many solutions exist for the line 2x + 3y = 12?

• Two

• One

• None

• Infinite

What is the slope-intercept form of the equation -y = -2x + 4?

• y = -2x - 4

• y = 2x - 4

• y = -2x + 4

• y = 2x + 4

What is the point of intersection for the lines 2x + 3y = 12 and y = 2x - 4?

• (2, 2)

• (3, 2)

• (4, 2)

• (3, 3)

What is the solution to the system of equations 2x + 3y = 12 and y = 2x - 4?

• (3, 3)

• (2, 2)

• (3, 2)

• (4, 2)

Which method is NOT mentioned as a way to solve systems of equations?

• Graphing

• Elimination

• Substitution

• Integration

What is the next method to be covered after graphing for solving systems of equations?

• Differentiation

• Elimination

• Substitution

• Integration

What is a good way to simplify the equation 3/4x = y?

• Multiply both sides by 4

• Divide both sides by 3

• Subtract 4 from both sides

• Add 3 to both sides