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 a system of equations has one solution?

Back

The lines intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

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

Back

The lines coincide, meaning they are the same line.

Front

How do you graph a linear equation?

Back

Identify the y-intercept and use the slope to find another point.

Front

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

Back

Front

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

Back

By finding the point(s) where the lines intersect.

Front

Back

The y-intercept is -2.

Front

Back

The slope is 2.

Front

If two lines have the same slope but different y-intercepts, what can be said about the system of equations?

Back

It has no solution.