Solving Systems of Equations by Graphing

Front

What is the solution to the system of equations represented by the intersection of two lines?

Back

The solution is the point where the two lines intersect.

Front

If a system of equations has no solution, what does the graph look like?

Back

The graph will show parallel lines.

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

If the solution to a system of equations is infinitely many, what do the lines do?

Back

The lines will overlap each other.

Front

What is the graphical representation of a system of equations with one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean if two lines are skew?

Back

Skew lines do not intersect and are not parallel.

Front

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

Back

If the lines are parallel, the system has no solution.

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x).