Solving Systems by Graphing

Front

What is the solution to a system of equations?

Back

The point that the equations have in common.

Front

What does it mean when two lines intersect on a graph?

Back

It means that there is a solution to the system of equations represented by those lines.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point of the lines representing the equations.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect, the system has no solution.

Front

What is the meaning of the term 'consistent' in relation to systems of equations?

Back

A consistent system has at least one solution.

Front

What is the meaning of the term 'inconsistent' in relation to systems of equations?

Back

An inconsistent system has no solutions.

Front

What does it mean for a system of equations to be dependent?

Back

A dependent system has infinitely many solutions, as the equations represent the same line.

Front

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

Back

Start at the y-intercept (b) and 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 = -x + 4?

Back

The y-intercept is 4.