Graphing Systems of Inequalities and Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines overlap completely?

Back

The system of equations has infinitely many solutions.

Front

How do you graph the equation y = mx + b?

Back

Plot the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

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

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into each equation; if both equations are true, it is a solution.

Front

What is the graphical representation of the inequality y > -x - 1?

Back

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

Front

What does the inequality y ≥ x + 4 represent graphically?

Back

The area above and including the line y = x + 4.