Graphing Systems of Inequalities and Equations

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

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

Back

It means there is no solution to the system because the lines never intersect.

Front

What is the solution to a system of equations?

Back

The point where the lines intersect, representing the values of the variables that satisfy all equations.

Front

How can you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they have infinitely many solutions.

Front

What is the graphical representation of a linear inequality?

Back

A shaded region on one side of the line, indicating all the solutions that satisfy the inequality.

Front

What does the term 'feasible region' refer to in graphing inequalities?

Back

The area on the graph where all the inequalities overlap, representing all possible solutions.

Front

How do you graph a linear equation?

Back

By plotting points that satisfy the equation and connecting them with a straight line.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you find the intersection point of two lines graphically?

Back

By locating the point where the two lines cross on the graph.