Graphing Systems of Inequalities and Equations

Front

What does it mean if two lines are the same in a system of equations?

Back

Infinite Number of Solutions

Front

What does it mean if two lines are parallel in a system of equations?

Back

No Solution

Front

What does it mean if two lines intersect in a system of equations?

Back

One Solution

Front

What is the graphical representation of the inequality 2x - y > 4?

Back

The area above the line 2x - y = 4, not including the line itself.

Front

What is the graphical representation of the inequality 4x + 2y < 6?

Back

The area below the line 4x + 2y = 6, not including the line itself.

Front

What is the solution set of the system of inequalities y ≥ -x - 1 and y < x + 4?

Back

The region where y is greater than or equal to -x - 1 and below x + 4.

Front

How do you determine the number of solutions in a system of equations?

Back

By analyzing the slopes and y-intercepts of the lines.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -4x + 3?

Back

The y-intercept is 3.

Front

What does the inequality y > -x - 1 represent graphically?

Back

The area above the line y = -x - 1, not including the line.