Solving Systems by Graphing GM8

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by graphing?

Back

It means to graph the equations on the same coordinate plane and find the point(s) where they intersect.

Front

What is the solution to a system of equations?

Back

The point(s) where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

Front

What does it indicate if two lines intersect at one point?

Back

There is one unique solution to the system of equations.

Front

What does it indicate if two lines are parallel?

Back

There is no solution to the system of equations.

Front

What does it indicate if two lines overlap completely?

Back

There are infinite solutions to the system of equations.

Front

How do you determine the solution from a graph?

Back

Identify the coordinates of the intersection point of the two lines.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a 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 tell if a system of equations has no solution by looking at the graph?

Back

If the lines are parallel and never intersect, the system has no solution.