Retest: Graphing Systems of Equations

Front

What is a system of equations?

Back

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

Front

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

Back

The system has one unique solution.

Front

What does it mean if two lines are parallel on a graph?

Back

The system has no solution.

Front

What does it mean if two lines overlap on a graph?

Back

The system has infinitely many solutions.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

What is the slope of a line?

Back

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

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

How can you determine the solution to a system of equations graphically?

Back

By finding the point where the two lines intersect.

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 it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.