5-2: Solve Systems by Graphing

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What is the solution to a system of equations?

Back

The point where the graphs of the equations intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you graph a linear equation?

Back

You can graph it by finding two or more points that satisfy the equation and connecting them.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of the line, calculated as the rise over run.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the graphical representation of the solution (1, 3)?

Back

It is the point where x=1 and y=3 on the graph.

Front

What does it mean for two lines to intersect?

Back

It means they have a common solution, which is the point of intersection.