Exploring Systems of Equations through Graphing

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

• Check if the equations are in standard form

• Check if the equations are in slope-intercept form

• Plot the y-intercept

• Find the x-intercept

In the slope-intercept form y = mx + b, what does 'm' represent?

• The y-intercept

• The x-intercept

• The slope

• The constant term

How do you convert a standard form equation to slope-intercept form?

• Multiply the x term by the y term

• Divide the x term by the y term

• Subtract the x term from both sides

• Add the x term to both sides

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

• -2

• 2

• -3

• 3

If two lines on a graph do not intersect, what does that indicate about the system of equations?

• The system has no solution

• The system has infinite solutions

• The system is inconsistent

• The system has one solution

What is the y-intercept of the equation y = 2/3x + 1?

• 2

• 3

• 1

• 2/3

When two lines are on top of each other on a graph, what does that mean?

• They have one solution

• They have no solution

• They are perpendicular

• They have infinite solutions

What is the slope of the equation y = 2x - 5?

• -2

• -5

• 5

• 2

If two lines have the same slope but different y-intercepts, what is the number of solutions?

• One solution

• No solution

• Cannot be determined

• Infinite solutions

How can you determine the number of solutions before graphing?

• By checking the x-intercepts

• By checking the slopes and y-intercepts

• By checking the constants

• By checking the coefficients of y