Solving Systems of Equations 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

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have one solution?

Back

The lines representing the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines representing the equations are the same line, overlapping completely.

Front

How do you find the slope from a graph?

Back

The slope is the rise over run, calculated as the change in y divided by the change in x.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis, represented as (0, y).

Front

How can you determine if two lines are parallel from their equations?

Back

If the slopes of the two lines are equal, the lines are parallel.

Front

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

Back

Front

How do you graph a system of equations?

Back

Graph each equation on the same coordinate plane and look for points of intersection.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.